Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bf |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-122779640114823168 = -1 · 214 · 318 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2029467,-1112937910] |
[a1,a2,a3,a4,a6] |
j |
-309586644846318169/41118653052 |
j-invariant |
L |
0.50595346860828 |
L(r)(E,1)/r! |
Ω |
0.063244184930152 |
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 |
12006u1 32016t1 |
Quadratic twists by: -4 -3 |