Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31960a |
Isogeny class |
Conductor |
31960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-511360000 = -1 · 210 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,200,0] |
[a1,a2,a3,a4,a6] |
j |
859687196/499375 |
j-invariant |
L |
1.9564742580278 |
L(r)(E,1)/r! |
Ω |
0.97823712901255 |
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 |
63920a1 |
Quadratic twists by: -4 |