Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631c |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5714103315067765541 = 718 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1037119,390180018] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:189303:8] |
Generators of the group modulo torsion |
j |
1048626554636928177/48569076788309 |
j-invariant |
L |
3.0630758115679 |
L(r)(E,1)/r! |
Ω |
0.23745901285757 |
Real period |
R |
6.4496937275764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2233a3 |
Quadratic twists by: -7 |