Atkin-Lehner |
7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32879c |
Isogeny class |
Conductor |
32879 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
552597353 = 77 · 11 · 61 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4811,-127240] |
[a1,a2,a3,a4,a6] |
Generators |
[-156948292043529440:82051620166660267:3962313396224000] |
Generators of the group modulo torsion |
j |
104686895097/4697 |
j-invariant |
L |
7.4200455091522 |
L(r)(E,1)/r! |
Ω |
0.57324153892614 |
Real period |
R |
25.888024524714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4697c1 |
Quadratic twists by: -7 |