Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221j |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-399508716401401059 = -1 · 312 · 197 · 292 |
Discriminant |
Eigenvalues |
0 3- 3 -1 5 4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88806,32070969] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/11648691 |
j-invariant |
L |
4.1562531694469 |
L(r)(E,1)/r! |
Ω |
0.2597658257839 |
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 |
31407e1 4959c1 |
Quadratic twists by: -3 -19 |