Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
3026520525000000 = 26 · 3 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1678658,-837682812] |
[a1,a2,a3,a4,a6] |
Generators |
[7407426654:-1019750783814:389017] |
Generators of the group modulo torsion |
j |
4446542056384/25725 |
j-invariant |
L |
8.5848756655046 |
L(r)(E,1)/r! |
Ω |
0.13263530113353 |
Real period |
R |
16.181355107226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600be1 23520bi1 16800l1 |
Quadratic twists by: -4 5 -7 |