Atkin-Lehner |
2- 7+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
125552c |
Isogeny class |
Conductor |
125552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2401920 |
Modular degree for the optimal curve |
Δ |
-312670683136 = -1 · 221 · 7 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2633552,-1644103744] |
[a1,a2,a3,a4,a6] |
Generators |
[5040737699382:-413319514327694:707347971] |
Generators of the group modulo torsion |
j |
-493162020340364893393/76335616 |
j-invariant |
L |
4.8387090977638 |
L(r)(E,1)/r! |
Ω |
0.059256237289776 |
Real period |
R |
20.414345050722 |
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 |
15694c1 |
Quadratic twists by: -4 |