Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088ba |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-39713884013808 = -1 · 24 · 36 · 237 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -2 7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20631,1180199] |
[a1,a2,a3,a4,a6] |
j |
-562432/23 |
j-invariant |
L |
2.5638922576858 |
L(r)(E,1)/r! |
Ω |
0.64097306442752 |
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 |
76176z1 4232c1 1656i1 |
Quadratic twists by: -4 -3 -23 |