Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192g |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
-1223742464 = -1 · 210 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 3 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,1682] |
[a1,a2,a3,a4,a6] |
j |
108/49 |
j-invariant |
L |
9.5524536999618 |
L(r)(E,1)/r! |
Ω |
1.1940567579571 |
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 |
47096g1 94192h1 |
Quadratic twists by: -4 29 |