Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978w |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2047680 |
Modular degree for the optimal curve |
Δ |
152346811092672 = 26 · 3 · 710 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 1 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2239759,-1290365767] |
[a1,a2,a3,a4,a6] |
j |
442360006943430017593/54235247808 |
j-invariant |
L |
7.4045800412549 |
L(r)(E,1)/r! |
Ω |
0.12340968229381 |
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 |
117978c1 |
Quadratic twists by: 53 |