Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3190a |
Isogeny class |
Conductor |
3190 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
648 |
Modular degree for the optimal curve |
Δ |
-10731160 = -1 · 23 · 5 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51,-64] |
[a1,a2,a3,a4,a6] |
j |
15087533111/10731160 |
j-invariant |
L |
0.42782250285089 |
L(r)(E,1)/r! |
Ω |
1.2834675085527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25520n1 102080t1 28710bq1 15950m1 |
Quadratic twists by: -4 8 -3 5 |