Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248j |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
8114134721616 = 24 · 318 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6114,122785] |
[a1,a2,a3,a4,a6] |
j |
2166968031232/695656269 |
j-invariant |
L |
1.3626134628155 |
L(r)(E,1)/r! |
Ω |
0.68130679981548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416r1 |
Quadratic twists by: -3 |