Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23660a |
Isogeny class |
Conductor |
23660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-159941600000 = -1 · 28 · 55 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 3 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1352,-2028] |
[a1,a2,a3,a4,a6] |
j |
37380096/21875 |
j-invariant |
L |
1.8076004783828 |
L(r)(E,1)/r! |
Ω |
0.60253349279424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cb1 118300q1 23660i1 |
Quadratic twists by: -4 5 13 |