Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925t |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
597436328125 = 58 · 76 · 13 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4083,-91932] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:24:1] |
Generators of the group modulo torsion |
j |
163840/13 |
j-invariant |
L |
2.1936669590041 |
L(r)(E,1)/r! |
Ω |
0.6002413014793 |
Real period |
R |
1.8273209071067 |
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 |
15925l1 325a1 |
Quadratic twists by: 5 -7 |