Atkin-Lehner |
2+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5056b |
Isogeny class |
Conductor |
5056 |
Conductor |
∏ cp |
4 |
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 |
[201:32768:27] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
4.4057186686499 |
L(r)(E,1)/r! |
Ω |
0.68251822046121 |
Real period |
R |
1.6137732798081 |
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 |
5056r1 158c1 45504k1 126400h1 |
Quadratic twists by: -4 8 -3 5 |