Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312i |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
5967872 = 212 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,4186] |
[a1,a2,a3,a4,a6] |
Generators |
[15:14:1] |
Generators of the group modulo torsion |
j |
3196010817/1457 |
j-invariant |
L |
3.1738155611824 |
L(r)(E,1)/r! |
Ω |
2.3568651235871 |
Real period |
R |
1.3466258757955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1457a2 93248z1 |
Quadratic twists by: -4 8 |