Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056g |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
5177344 = 216 · 79 |
Discriminant |
Eigenvalues |
2+ -1 1 -5 -4 -1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,193] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] [-1:16:1] |
Generators of the group modulo torsion |
j |
470596/79 |
j-invariant |
L |
3.9353829456316 |
L(r)(E,1)/r! |
Ω |
2.3115593622041 |
Real period |
R |
0.42561993107098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5056l1 632a1 45504x1 126400u1 |
Quadratic twists by: -4 8 -3 5 |