Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918b |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1514168727371776 = -1 · 221 · 76 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7846,-1854924] |
[a1,a2,a3,a4,a6] |
j |
147955217768559/4194373206016 |
j-invariant |
L |
1.843385201383 |
L(r)(E,1)/r! |
Ω |
0.23042314427827 |
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 |
85918z1 |
Quadratic twists by: -19 |