Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bx |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
220171162176 = 26 · 34 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5602,161680] |
[a1,a2,a3,a4,a6] |
j |
2582630848/29241 |
j-invariant |
L |
2.0003539992756 |
L(r)(E,1)/r! |
Ω |
1.0001770533026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89376t1 1824i1 |
Quadratic twists by: -4 -7 |