Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624y |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4717440 |
Modular degree for the optimal curve |
Δ |
-1.1765117867362E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 3 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,675944,-475786063] |
[a1,a2,a3,a4,a6] |
Generators |
[863:27405:1] |
Generators of the group modulo torsion |
j |
15484661504/53338743 |
j-invariant |
L |
12.741568043397 |
L(r)(E,1)/r! |
Ω |
0.09511811274928 |
Real period |
R |
3.189410086639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624cd1 |
Quadratic twists by: 13 |