Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130h |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
303004791440 = 24 · 5 · 135 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38542,2921869] |
[a1,a2,a3,a4,a6] |
Generators |
[49:1047:1] |
Generators of the group modulo torsion |
j |
6331635267505550001/303004791440 |
j-invariant |
L |
7.2930157686694 |
L(r)(E,1)/r! |
Ω |
0.91404598080992 |
Real period |
R |
3.9894140567235 |
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 |
105040s1 118170d1 65650d1 |
Quadratic twists by: -4 -3 5 |