Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bo |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
384384 |
Modular degree for the optimal curve |
Δ |
-827777432287728 = -1 · 24 · 37 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 3 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18308,1674765] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:1521:1] |
Generators of the group modulo torsion |
j |
-52000000/63423 |
j-invariant |
L |
8.8190625387728 |
L(r)(E,1)/r! |
Ω |
0.45384349234359 |
Real period |
R |
0.46266539815763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624k1 |
Quadratic twists by: 13 |