Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3306b |
Isogeny class |
Conductor |
3306 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-11306997135144 = -1 · 23 · 39 · 195 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 1 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16226,-818628] |
[a1,a2,a3,a4,a6] |
j |
-472497970270424617/11306997135144 |
j-invariant |
L |
1.9008217167388 |
L(r)(E,1)/r! |
Ω |
0.21120241297098 |
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 |
26448t1 105792x1 9918p1 82650ce1 |
Quadratic twists by: -4 8 -3 5 |