Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684s |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-42539996016 = -1 · 24 · 36 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7497,-250047] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1287:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
6.4169954407828 |
L(r)(E,1)/r! |
Ω |
0.25652158084661 |
Real period |
R |
4.1692368984911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6076b1 1116a1 |
Quadratic twists by: -3 -7 |