Atkin-Lehner |
2+ 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13224d |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19520 |
Modular degree for the optimal curve |
Δ |
-33316862976 = -1 · 210 · 310 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 6 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464,-9744] |
[a1,a2,a3,a4,a6] |
j |
-10812181828/32535999 |
j-invariant |
L |
2.3764032471577 |
L(r)(E,1)/r! |
Ω |
0.47528064943154 |
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 |
26448e1 105792e1 39672l1 |
Quadratic twists by: -4 8 -3 |