Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376o |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61011968 = 211 · 313 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1312,-18732] |
[a1,a2,a3,a4,a6] |
j |
4096766 |
j-invariant |
L |
1.586444457852 |
L(r)(E,1)/r! |
Ω |
0.79322222892602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7688m2 61504bz2 15376k2 |
Quadratic twists by: -4 8 -31 |