Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8722i |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
171552948224 = 214 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2182,-33960] |
[a1,a2,a3,a4,a6] |
j |
9759185353/1458176 |
j-invariant |
L |
0.70556106574335 |
L(r)(E,1)/r! |
Ω |
0.70556106574335 |
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 |
69776r1 78498cb1 178b1 |
Quadratic twists by: -4 -3 -7 |