Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bo |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
124272712533344256 = 216 · 316 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 2 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20570261,-35904225171] |
[a1,a2,a3,a4,a6] |
Generators |
[-2619:1316:1] |
Generators of the group modulo torsion |
j |
1320430570353521468061193/170470113214464 |
j-invariant |
L |
13.792228071809 |
L(r)(E,1)/r! |
Ω |
0.070890756217378 |
Real period |
R |
3.0399388460106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758d1 |
Quadratic twists by: -3 |