Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ci |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
1655996628847680 = 26 · 311 · 5 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-427420,107359037] |
[a1,a2,a3,a4,a6] |
j |
709748997075124343/136105583040 |
j-invariant |
L |
2.7578083801301 |
L(r)(E,1)/r! |
Ω |
0.45963468612566 |
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 |
111090by1 |
Quadratic twists by: -23 |