Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221m |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-359049506249781 = -1 · 36 · 198 · 29 |
Discriminant |
Eigenvalues |
-1 3- 1 2 3 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35807,2771628] |
[a1,a2,a3,a4,a6] |
j |
-148035889/10469 |
j-invariant |
L |
2.1140700161311 |
L(r)(E,1)/r! |
Ω |
0.52851754805957 |
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 |
10469a1 4959d1 |
Quadratic twists by: -3 -19 |