Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10788i |
Isogeny class |
Conductor |
10788 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
17215968178944 = 28 · 34 · 29 · 315 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -4 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6852,-90684] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:186:1] |
Generators of the group modulo torsion |
j |
138995003979088/67249875699 |
j-invariant |
L |
3.5353881358621 |
L(r)(E,1)/r! |
Ω |
0.55077960504173 |
Real period |
R |
0.10698133165849 |
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 |
43152ba1 32364k1 |
Quadratic twists by: -4 -3 |