Atkin-Lehner |
2+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808c |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7082242048 = -1 · 212 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,268,-3680] |
[a1,a2,a3,a4,a6] |
j |
519718464/1729063 |
j-invariant |
L |
1.3538150742483 |
L(r)(E,1)/r! |
Ω |
0.67690753712777 |
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 |
31808h1 15904g1 |
Quadratic twists by: -4 8 |