Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12584j |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1610752 = 210 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 -4 2 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
4.1027255713416 |
L(r)(E,1)/r! |
Ω |
2.5170165772862 |
Real period |
R |
0.81499772555435 |
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 |
25168d1 100672bu1 113256s1 12584e1 |
Quadratic twists by: -4 8 -3 -11 |