Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376f |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-440201825776 = -1 · 24 · 317 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 2 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,961,-29791] |
[a1,a2,a3,a4,a6] |
j |
6912/31 |
j-invariant |
L |
1.8991041250077 |
L(r)(E,1)/r! |
Ω |
0.47477603125194 |
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 |
7688h1 61504bq1 496a1 |
Quadratic twists by: -4 8 -31 |