Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536bf |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
1186107627055087616 = 230 · 115 · 193 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1071872,424263680] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:103455:8] |
Generators of the group modulo torsion |
j |
4847659921191907/42218553344 |
j-invariant |
L |
9.9360702440471 |
L(r)(E,1)/r! |
Ω |
0.27512994128818 |
Real period |
R |
3.6114100113186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942n1 63536bi1 |
Quadratic twists by: -4 -19 |