Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664h |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
43640576 = 28 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,-5508] |
[a1,a2,a3,a4,a6] |
Generators |
[-22618323:3886784:1601613] |
Generators of the group modulo torsion |
j |
39711952/71 |
j-invariant |
L |
10.936454448712 |
L(r)(E,1)/r! |
Ω |
0.96300170933152 |
Real period |
R |
11.356630359826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916b1 55664bd1 |
Quadratic twists by: -4 -7 |