Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664w |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4931742662656 = -1 · 216 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 2 -3 1 0 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1023,105761] |
[a1,a2,a3,a4,a6] |
j |
1804870652/75252421 |
j-invariant |
L |
2.3290700116659 |
L(r)(E,1)/r! |
Ω |
0.58226750226475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664e1 14416b1 |
Quadratic twists by: -4 8 |