Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bn |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2209329749503319184 = 24 · 320 · 72 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-821291,-277204629] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:3198:1] |
Generators of the group modulo torsion |
j |
84040161663159678313/3030630657754896 |
j-invariant |
L |
5.0209849397987 |
L(r)(E,1)/r! |
Ω |
0.1589414722075 |
Real period |
R |
3.9487686931241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127191 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37758c2 |
Quadratic twists by: -3 |