Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376h |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
246016 = 28 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 -1 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196,-1124] |
[a1,a2,a3,a4,a6] |
j |
3402064 |
j-invariant |
L |
2.5508722020085 |
L(r)(E,1)/r! |
Ω |
1.2754361010042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7688k1 61504bt1 15376d1 |
Quadratic twists by: -4 8 -31 |