Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bh |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2926099903381200 = 24 · 314 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35868,250733] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:13455:8] |
Generators of the group modulo torsion |
j |
3718856704/2132325 |
j-invariant |
L |
7.7004651887151 |
L(r)(E,1)/r! |
Ω |
0.38614249319765 |
Real period |
R |
4.9855075257821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999548996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220q1 2340h1 |
Quadratic twists by: -3 -7 |