Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15138bc |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
194880 |
Modular degree for the optimal curve |
Δ |
-169211350662536016 = -1 · 24 · 36 · 299 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -5 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-461867,122541387] |
[a1,a2,a3,a4,a6] |
j |
-1030301/16 |
j-invariant |
L |
2.5821691077816 |
L(r)(E,1)/r! |
Ω |
0.3227711384727 |
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 |
121104co1 1682c1 15138l1 |
Quadratic twists by: -4 -3 29 |