Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330q |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.9452791575798E+36 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153221442111,-149961927836053827] |
[a1,a2,a3,a4,a6] |
Generators |
[5613321470225089617334733574132193255194473255072170176096240685512037491167137948280324264770674101349339835559831057143623616159905243353735608464093623812830931805745189115394545537643952589921520467365455204452883042021869:116105800020666838524516072440518342600576158384437980267884446621021715070630950621481244671167744405604018446612971819424599351260620540922812984887365466103830618246172759380876939865332563840472052688107050619173094113964797628:13119922775422894673061545932882685550944242323751564273171278512253235841602397842661956767571519924961334290170427516441616691946347365716600042281402527114863819763502960661648326974740597657715825957102304622040037] |
Generators of the group modulo torsion |
j |
545701089094629297209685085185657071/13642358240850272287057123292160000 |
j-invariant |
L |
4.9364385570257 |
L(r)(E,1)/r! |
Ω |
0.0035104420230703 |
Real period |
R |
351.55391575932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110w3 |
Quadratic twists by: -3 |