Atkin-Lehner |
2- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28304d |
Isogeny class |
Conductor |
28304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-13448249344 = -1 · 218 · 292 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -5 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443,6634] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] |
Generators of the group modulo torsion |
j |
-2347334289/3283264 |
j-invariant |
L |
4.1879581790283 |
L(r)(E,1)/r! |
Ω |
1.1325794622168 |
Real period |
R |
0.92442921639048 |
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 |
3538e1 113216i1 |
Quadratic twists by: -4 8 |