Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376g |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
148800 |
Modular degree for the optimal curve |
Δ |
839299365868340224 = 210 · 3110 |
Discriminant |
Eigenvalues |
2+ 1 1 -3 -5 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307840,-48878204] |
[a1,a2,a3,a4,a6] |
j |
3844 |
j-invariant |
L |
0.82636320580188 |
L(r)(E,1)/r! |
Ω |
0.20659080145047 |
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 |
7688b1 61504bu1 15376c1 |
Quadratic twists by: -4 8 -31 |