Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20938i |
Isogeny class |
Conductor |
20938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-5457322196 = -1 · 22 · 196 · 29 |
Discriminant |
Eigenvalues |
2- 3 -3 -2 -1 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429,-4823] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
4.0810482807735 |
L(r)(E,1)/r! |
Ω |
0.51013103509669 |
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 |
58a1 |
Quadratic twists by: -19 |