Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120n |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
4198400 = 212 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [-5:8:1] |
Generators of the group modulo torsion |
j |
1906624/1025 |
j-invariant |
L |
4.1884319680006 |
L(r)(E,1)/r! |
Ω |
2.0041791810467 |
Real period |
R |
1.0449245276095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120m1 6560n1 118080cj1 65600w1 |
Quadratic twists by: -4 8 -3 5 |