Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5978i |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
12860447488 = 28 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7- -5 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-3004] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
6.4742167947334 |
L(r)(E,1)/r! |
Ω |
0.9904482217624 |
Real period |
R |
0.20427042059343 |
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 |
47824m1 53802p1 854c1 |
Quadratic twists by: -4 -3 -7 |