Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808q |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-31808 = -1 · 26 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,-646] |
[a1,a2,a3,a4,a6] |
j |
-5639752000/497 |
j-invariant |
L |
0.68400231841833 |
L(r)(E,1)/r! |
Ω |
0.68400231841906 |
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 |
31808z1 15904a1 |
Quadratic twists by: -4 8 |