Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87856h |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
565760 |
Modular degree for the optimal curve |
Δ |
-9228982900502528 = -1 · 212 · 179 · 19 |
Discriminant |
Eigenvalues |
2- 1 -2 2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288229,-59835245] |
[a1,a2,a3,a4,a6] |
j |
-5451776/19 |
j-invariant |
L |
1.8540306735185 |
L(r)(E,1)/r! |
Ω |
0.1030017019252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5491f1 87856i1 |
Quadratic twists by: -4 17 |