Atkin-Lehner |
2+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
117056b |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22784 |
Modular degree for the optimal curve |
Δ |
-442003456 = -1 · 212 · 31 · 592 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116,1120] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:28:1] [-6:40:1] |
Generators of the group modulo torsion |
j |
-42144192/107911 |
j-invariant |
L |
10.192003344378 |
L(r)(E,1)/r! |
Ω |
1.4772416517921 |
Real period |
R |
3.4496736978642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117056e1 58528a1 |
Quadratic twists by: -4 8 |