Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bv |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
389080950628032 = 26 · 35 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50700,4273434] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:-20631:8] [149:222:1] |
Generators of the group modulo torsion |
j |
225204042539923264/6079389853563 |
j-invariant |
L |
8.8134114658039 |
L(r)(E,1)/r! |
Ω |
0.53253483594688 |
Real period |
R |
1.1033283171833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408v1 28704c2 |
Quadratic twists by: -4 8 |