Atkin-Lehner |
2+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976b |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
396288 |
Modular degree for the optimal curve |
Δ |
-260180976247808 = -1 · 210 · 74 · 113 · 433 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156920,-23990716] |
[a1,a2,a3,a4,a6] |
Generators |
[920:24722:1] |
Generators of the group modulo torsion |
j |
-417312526805284324/254082984617 |
j-invariant |
L |
3.0479703704188 |
L(r)(E,1)/r! |
Ω |
0.11993167363864 |
Real period |
R |
6.3535558995766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26488f1 |
Quadratic twists by: -4 |