Atkin-Lehner |
2- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bg |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1126510000 = -1 · 24 · 54 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,956] |
[a1,a2,a3,a4,a6] |
j |
72268906496/70406875 |
j-invariant |
L |
2.0327715573813 |
L(r)(E,1)/r! |
Ω |
1.0163862934732 |
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 |
29260e1 |
Quadratic twists by: -4 |