Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47096m |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1195264 |
Modular degree for the optimal curve |
Δ |
-727910556485202944 = -1 · 210 · 72 · 299 |
Discriminant |
Eigenvalues |
2- 3 3 7- 3 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24389,-41022298] |
[a1,a2,a3,a4,a6] |
j |
108/49 |
j-invariant |
L |
9.6128307608283 |
L(r)(E,1)/r! |
Ω |
0.13351153834565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192h1 47096g1 |
Quadratic twists by: -4 29 |