Atkin-Lehner |
2- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
13286i |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
-6802432 = -1 · 210 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38,103] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
6058428767/6802432 |
j-invariant |
L |
10.199660380482 |
L(r)(E,1)/r! |
Ω |
1.5747351229734 |
Real period |
R |
0.64770641307747 |
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 |
106288u1 119574h1 93002r1 |
Quadratic twists by: -4 -3 -7 |