Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13224a |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-3385344 = -1 · 211 · 3 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 5 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,204] |
[a1,a2,a3,a4,a6] |
j |
-9653618/1653 |
j-invariant |
L |
2.414734835255 |
L(r)(E,1)/r! |
Ω |
2.414734835255 |
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 |
26448g1 105792u1 39672j1 |
Quadratic twists by: -4 8 -3 |