Atkin-Lehner |
2- 3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13224g |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
12533431783646208 = 210 · 3 · 193 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71896,5127388] |
[a1,a2,a3,a4,a6] |
j |
40136914388511076/12239679476217 |
j-invariant |
L |
3.3365712052521 |
L(r)(E,1)/r! |
Ω |
0.3707301339169 |
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 |
26448f1 105792p1 39672g1 |
Quadratic twists by: -4 8 -3 |