Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2204c |
Isogeny class |
Conductor |
2204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-2680064 = -1 · 28 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 2 -3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-74] |
[a1,a2,a3,a4,a6] |
Generators |
[11:38:1] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
1.855398718105 |
L(r)(E,1)/r! |
Ω |
1.2875645114856 |
Real period |
R |
0.24016902992098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8816m1 35264n1 19836c1 55100f1 |
Quadratic twists by: -4 8 -3 5 |