Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120x |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
65600000000 = 212 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1721,25145] |
[a1,a2,a3,a4,a6] |
j |
137707850944/16015625 |
j-invariant |
L |
2.1312945623935 |
L(r)(E,1)/r! |
Ω |
1.0656472811967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bc1 6560d1 118080gl1 65600bo1 |
Quadratic twists by: -4 8 -3 5 |