Atkin-Lehner |
3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975x |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1096577625 = 3 · 53 · 113 · 133 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7570,250375] |
[a1,a2,a3,a4,a6] |
Generators |
[54:25:1] |
Generators of the group modulo torsion |
j |
288411730543/6591 |
j-invariant |
L |
4.8706284421824 |
L(r)(E,1)/r! |
Ω |
1.433203342802 |
Real period |
R |
1.1328070375237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999883786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117975ch1 117975w1 |
Quadratic twists by: 5 -11 |