Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138j |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1447040 |
Modular degree for the optimal curve |
Δ |
-1.2349578689801E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5449233,16183716322] |
[a1,a2,a3,a4,a6] |
j |
150900148890919/1041386274432 |
j-invariant |
L |
2.8874875467399 |
L(r)(E,1)/r! |
Ω |
0.075986514387893 |
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 |
97104cd1 36414cn1 84966bc1 12138f1 |
Quadratic twists by: -4 -3 -7 17 |