Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5978d |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
9846280108 = 22 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -3 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-565,-2012] |
[a1,a2,a3,a4,a6] |
Generators |
[53:316:1] |
Generators of the group modulo torsion |
j |
493039/244 |
j-invariant |
L |
3.7391282256736 |
L(r)(E,1)/r! |
Ω |
1.0304909778043 |
Real period |
R |
0.90712298948037 |
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 |
47824u1 53802cj1 5978c1 |
Quadratic twists by: -4 -3 -7 |