Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18224h |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
92503097212928 = 222 · 173 · 672 |
Discriminant |
Eigenvalues |
2- -2 2 4 -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13072,337428] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:826:1] |
Generators of the group modulo torsion |
j |
60314690631313/22583763968 |
j-invariant |
L |
4.6411565743754 |
L(r)(E,1)/r! |
Ω |
0.55000947965416 |
Real period |
R |
4.2191605291001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278b1 72896l1 |
Quadratic twists by: -4 8 |