Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27830q |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
229480925696000 = 212 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82303,-9038169] |
[a1,a2,a3,a4,a6] |
j |
34802436655449/129536000 |
j-invariant |
L |
1.6915876968935 |
L(r)(E,1)/r! |
Ω |
0.28193128281571 |
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 |
2530a1 |
Quadratic twists by: -11 |