Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bn |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
72225042014315520 = 210 · 316 · 5 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4909683,-4187224258] |
[a1,a2,a3,a4,a6] |
j |
17533014174380905924/96752081745 |
j-invariant |
L |
0.60853792676065 |
L(r)(E,1)/r! |
Ω |
0.1014229726702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920n1 |
Quadratic twists by: -3 |