Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432db |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-30112330475372544 = -1 · 219 · 35 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25104,8479764] |
[a1,a2,a3,a4,a6] |
Generators |
[450:9408:1] |
Generators of the group modulo torsion |
j |
-3630961153/62487936 |
j-invariant |
L |
11.753521654605 |
L(r)(E,1)/r! |
Ω |
0.31362352691893 |
Real period |
R |
0.93691326012355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bf1 13776h1 |
Quadratic twists by: -4 -7 |