Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345d |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5201724825 = 39 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1485,-21384] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] |
Generators of the group modulo torsion |
j |
496981290961/7135425 |
j-invariant |
L |
4.2882591064313 |
L(r)(E,1)/r! |
Ω |
0.76971828677281 |
Real period |
R |
2.7856029797672 |
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 |
5115k1 76725q1 |
Quadratic twists by: -3 5 |