Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808l |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-1558592 = -1 · 26 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -1 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,68] |
[a1,a2,a3,a4,a6] |
j |
-11852352/24353 |
j-invariant |
L |
7.1429585025972 |
L(r)(E,1)/r! |
Ω |
2.380986167534 |
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 |
31808f1 15904e1 |
Quadratic twists by: -4 8 |