Atkin-Lehner |
2- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13090n |
Isogeny class |
Conductor |
13090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1675520 = 28 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142,-611] |
[a1,a2,a3,a4,a6] |
Generators |
[29:123:1] |
Generators of the group modulo torsion |
j |
314570740401/1675520 |
j-invariant |
L |
7.0126802474951 |
L(r)(E,1)/r! |
Ω |
1.3842225929791 |
Real period |
R |
2.5330753460694 |
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 |
104720be1 117810u1 65450h1 91630bo1 |
Quadratic twists by: -4 -3 5 -7 |