Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635i |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
789525 = 32 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 11- -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-150,758] |
[a1,a2,a3,a4,a6] |
Generators |
[9:7:1] [-6:37:1] |
Generators of the group modulo torsion |
j |
3105304576/6525 |
j-invariant |
L |
4.738284663441 |
L(r)(E,1)/r! |
Ω |
2.8368301039654 |
Real period |
R |
0.41756859679582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52635e1 |
Quadratic twists by: -11 |