Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160o |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
17080000000000 = 212 · 510 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -5 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6776,78740] |
[a1,a2,a3,a4,a6] |
Generators |
[-614:3125:8] |
Generators of the group modulo torsion |
j |
8401330071289/4169921875 |
j-invariant |
L |
5.3414521273218 |
L(r)(E,1)/r! |
Ω |
0.61453039084666 |
Real period |
R |
2.1729812743526 |
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 |
2135d1 |
Quadratic twists by: -4 |