Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968br |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
125113439564352 = 26 · 37 · 197 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59565,5569508] |
[a1,a2,a3,a4,a6] |
j |
10648000/57 |
j-invariant |
L |
1.1807008811598 |
L(r)(E,1)/r! |
Ω |
0.59035051975041 |
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 |
103968t1 34656d1 5472i1 |
Quadratic twists by: -4 -3 -19 |