Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5056r |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
21715354648576 = 238 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26881,-1672543] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:44:1] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
2.5959724203235 |
L(r)(E,1)/r! |
Ω |
0.37307999426057 |
Real period |
R |
3.4791096551139 |
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 |
5056b1 1264e1 45504br1 126400by1 |
Quadratic twists by: -4 8 -3 5 |