Atkin-Lehner |
2+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122786d |
Isogeny class |
Conductor |
122786 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
292320 |
Modular degree for the optimal curve |
Δ |
-9715441267712 = -1 · 210 · 293 · 733 |
Discriminant |
Eigenvalues |
2+ -1 2 4 2 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4309,183533] |
[a1,a2,a3,a4,a6] |
j |
-362924821637/398353408 |
j-invariant |
L |
2.6384261630688 |
L(r)(E,1)/r! |
Ω |
0.65960624971191 |
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 |
122786j1 |
Quadratic twists by: 29 |