Atkin-Lehner |
2- 3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142u |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2164050698559498 = 2 · 316 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118367,-15563221] |
[a1,a2,a3,a4,a6] |
j |
183406981460928512113/2164050698559498 |
j-invariant |
L |
2.0605902656249 |
L(r)(E,1)/r! |
Ω |
0.25757378320312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426r3 |
Quadratic twists by: -3 |