Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020d |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
16479910771280 = 24 · 5 · 118 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25652,1569249] |
[a1,a2,a3,a4,a6] |
Generators |
[374:6655:1] |
Generators of the group modulo torsion |
j |
65858420736/581405 |
j-invariant |
L |
7.7358739073049 |
L(r)(E,1)/r! |
Ω |
0.69869311061326 |
Real period |
R |
1.8453199242776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820a1 |
Quadratic twists by: -11 |