Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624br |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1018802993584896 = -1 · 28 · 37 · 137 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -4 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40785,3509091] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-1014:1] |
Generators of the group modulo torsion |
j |
-6072054784/824499 |
j-invariant |
L |
7.5800114083387 |
L(r)(E,1)/r! |
Ω |
0.477482197129 |
Real period |
R |
0.28348145359771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999459446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9048i1 |
Quadratic twists by: 13 |