Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bn |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
18082105596878400 = 26 · 38 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140530,19264000] |
[a1,a2,a3,a4,a6] |
j |
4795721641044996544/282532899951225 |
j-invariant |
L |
2.2909796338569 |
L(r)(E,1)/r! |
Ω |
0.38182993898069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960y1 73920db2 110880bo1 |
Quadratic twists by: -4 8 -3 |