Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
4772740546566720 = 26 · 37 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154800,-23167040] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:584:1] |
Generators of the group modulo torsion |
j |
13945313143/162240 |
j-invariant |
L |
2.6581139648285 |
L(r)(E,1)/r! |
Ω |
0.24085856635622 |
Real period |
R |
1.3794993910017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cb1 57330da1 |
Quadratic twists by: -3 -7 |