Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bw |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
137090747808000 = 28 · 37 · 53 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21988,1128772] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:230:1] |
Generators of the group modulo torsion |
j |
36740974400912/4284085869 |
j-invariant |
L |
6.7966245741726 |
L(r)(E,1)/r! |
Ω |
0.56351164924345 |
Real period |
R |
1.5076495248786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96600bi1 |
Quadratic twists by: 5 |