Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782c |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-86610997248 = -1 · 212 · 3 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10515,-419667] |
[a1,a2,a3,a4,a6] |
j |
-5272566705125/3551232 |
j-invariant |
L |
0.47143767478738 |
L(r)(E,1)/r! |
Ω |
0.23571885281965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85782r1 |
Quadratic twists by: 29 |