Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725b |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
48285578125 = 56 · 174 · 37 |
Discriminant |
Eigenvalues |
0 3 5+ -3 -1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1000,6031] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:3599:27] |
Generators of the group modulo torsion |
j |
7077888000/3090277 |
j-invariant |
L |
6.2520410415582 |
L(r)(E,1)/r! |
Ω |
1.0181125694532 |
Real period |
R |
1.5352037753832 |
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 |
629c1 |
Quadratic twists by: 5 |