Atkin-Lehner |
3+ 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395g |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
94185 = 32 · 5 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1962,-34281] |
[a1,a2,a3,a4,a6] |
j |
835923509202601/94185 |
j-invariant |
L |
1.4345840050471 |
L(r)(E,1)/r! |
Ω |
0.71729200252581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185p1 |
Quadratic twists by: -3 |