Atkin-Lehner |
2+ 3+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538c |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-292842 = -1 · 2 · 33 · 11 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15,-9] |
[a1,a2,a3,a4,a6] |
j |
335702375/292842 |
j-invariant |
L |
1.6934015822135 |
L(r)(E,1)/r! |
Ω |
1.6934015822174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97614bn1 |
Quadratic twists by: -3 |