Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520x |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
2709780480 = 211 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5320,-151120] |
[a1,a2,a3,a4,a6] |
j |
67208610722/10935 |
j-invariant |
L |
3.9130655588075 |
L(r)(E,1)/r! |
Ω |
0.55900936554393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29040s1 116160w1 43560bw1 72600cv1 |
Quadratic twists by: -4 8 -3 5 |