Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13520v |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
71991296000 = 218 · 53 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1096,4980] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:64:1] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
2.9105925165278 |
L(r)(E,1)/r! |
Ω |
0.97001626069863 |
Real period |
R |
1.500280270782 |
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 |
1690d1 54080dj1 121680fn1 67600ct1 |
Quadratic twists by: -4 8 -3 5 |