Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bl |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
29331456 = 212 · 3 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2392,-44240] |
[a1,a2,a3,a4,a6] |
j |
369682454233/7161 |
j-invariant |
L |
2.7305784162951 |
L(r)(E,1)/r! |
Ω |
0.68264456452899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7161g1 |
Quadratic twists by: -4 |