Atkin-Lehner |
2- 3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142u |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-2316339616752 = -1 · 24 · 34 · 7 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3143,28919] |
[a1,a2,a3,a4,a6] |
j |
3433588288785647/2316339616752 |
j-invariant |
L |
2.0605902656249 |
L(r)(E,1)/r! |
Ω |
0.51514756640624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69426r1 |
Quadratic twists by: -3 |