Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208ce |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-223311900672 = -1 · 212 · 33 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,22707] |
[a1,a2,a3,a4,a6] |
j |
-200704/22707 |
j-invariant |
L |
4.8998787309835 |
L(r)(E,1)/r! |
Ω |
0.8166464579124 |
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 |
4263b1 68208cb1 |
Quadratic twists by: -4 -7 |