Atkin-Lehner |
2+ 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232h |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165027840 |
Modular degree for the optimal curve |
Δ |
-1.1186864377754E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 5 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555733716,-204306139713652] |
[a1,a2,a3,a4,a6] |
Generators |
[973954074274716698245770240935336285118973635661970854207187172885048988975079779230026260168832951090765048651735297340875834047899854638543068859769968:611373841544964919912476830879539537068891963958224359917086975610809222477636645120762635715043192551261816671492212634880824723826367066309607770711184667:2368631515900277278233327538513584183413961488380820884568438943935702817199849499794550169193753628325705470065592104304624405210063132878761816064] |
Generators of the group modulo torsion |
j |
-166962959078001445737309395968/599433319281236638491 |
j-invariant |
L |
7.6889839509135 |
L(r)(E,1)/r! |
Ω |
0.0083890762005433 |
Real period |
R |
229.13678953159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50616g1 33744e1 |
Quadratic twists by: -4 -3 |