Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760cf |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8875788773992335360 = -1 · 211 · 326 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,477573,66400886] |
[a1,a2,a3,a4,a6] |
Generators |
[19025827629130:-963101600092134:61864208875] |
Generators of the group modulo torsion |
j |
8068364842809742/5944967403705 |
j-invariant |
L |
9.923729551572 |
L(r)(E,1)/r! |
Ω |
0.1476088573475 |
Real period |
R |
16.807476429834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999954697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920c3 |
Quadratic twists by: -3 |