Atkin-Lehner |
3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975r |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
60655078125 = 37 · 58 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 3 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8555,-302178] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:30:1] |
Generators of the group modulo torsion |
j |
243135625/213 |
j-invariant |
L |
3.1752129212657 |
L(r)(E,1)/r! |
Ω |
0.49644524792641 |
Real period |
R |
1.5989743755873 |
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 |
5325e1 15975h1 |
Quadratic twists by: -3 5 |