Atkin-Lehner |
2+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888f |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
162816 |
Modular degree for the optimal curve |
Δ |
28131328 = 214 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 3 2 -3 5 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3184,69152] |
[a1,a2,a3,a4,a6] |
j |
217882801152/1717 |
j-invariant |
L |
7.5495717561257 |
L(r)(E,1)/r! |
Ω |
1.8873927314165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888u1 13736f1 |
Quadratic twists by: -4 8 |