Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
369600 = 26 · 3 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7700,262650] |
[a1,a2,a3,a4,a6] |
Generators |
[55:50:1] |
Generators of the group modulo torsion |
j |
788991481555264/5775 |
j-invariant |
L |
6.5368590619826 |
L(r)(E,1)/r! |
Ω |
2.0797853214375 |
Real period |
R |
1.5715225491973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000010557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920he1 36960r4 |
Quadratic twists by: -4 8 |