Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bt |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-39563709722394624 = -1 · 234 · 311 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11244,9580880] |
[a1,a2,a3,a4,a6] |
Generators |
[277:5265:1] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
4.2970740905538 |
L(r)(E,1)/r! |
Ω |
0.29606899364448 |
Real period |
R |
3.6284398086225 |
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 |
7488o1 1872r1 2496u1 97344fn1 |
Quadratic twists by: -4 8 -3 13 |