Atkin-Lehner |
2+ 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21576a |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-7151170477954627584 = -1 · 211 · 311 · 295 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 0 -6 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50056,-128716436] |
[a1,a2,a3,a4,a6] |
j |
-6772840714553618/3491782459938783 |
j-invariant |
L |
1.0591416488874 |
L(r)(E,1)/r! |
Ω |
0.10591416488874 |
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 |
43152i1 64728k1 |
Quadratic twists by: -4 -3 |