Atkin-Lehner |
2- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722r |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-18138798477707264 = -1 · 211 · 77 · 192 · 313 |
Discriminant |
Eigenvalues |
2- -3 -1 7- -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77013,10490925] |
[a1,a2,a3,a4,a6] |
Generators |
[335:4544:1] [149:-1594:1] |
Generators of the group modulo torsion |
j |
-429360718991121/154177243136 |
j-invariant |
L |
8.4568262774597 |
L(r)(E,1)/r! |
Ω |
0.36529788524902 |
Real period |
R |
0.087691262837012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8246g1 |
Quadratic twists by: -7 |