Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376l |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-476656 = -1 · 24 · 313 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 -4 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-692,-6781] |
[a1,a2,a3,a4,a6] |
j |
-76995328 |
j-invariant |
L |
0.93072291315662 |
L(r)(E,1)/r! |
Ω |
0.46536145657831 |
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 |
7688p1 61504ce1 15376p1 |
Quadratic twists by: -4 8 -31 |