Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824a |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
51441789952 = 210 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -1 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,-686] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:98:1] [-14:98:1] |
Generators of the group modulo torsion |
j |
740772/427 |
j-invariant |
L |
5.0430212901913 |
L(r)(E,1)/r! |
Ω |
0.94176036800241 |
Real period |
R |
0.66936099956171 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23912a1 6832b1 |
Quadratic twists by: -4 -7 |