Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11725b |
Isogeny class |
Conductor |
11725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
7328125 = 56 · 7 · 67 |
Discriminant |
Eigenvalues |
1 3 5+ 7- 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,1991] |
[a1,a2,a3,a4,a6] |
Generators |
[246:11:27] |
Generators of the group modulo torsion |
j |
176558481/469 |
j-invariant |
L |
9.3222817498931 |
L(r)(E,1)/r! |
Ω |
2.3595161493051 |
Real period |
R |
3.9509294109467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525be1 469b1 82075e1 |
Quadratic twists by: -3 5 -7 |