Atkin-Lehner |
2- 3- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838y |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56064 |
Modular degree for the optimal curve |
Δ |
-676749654 = -1 · 2 · 37 · 7 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 6 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,184,753] |
[a1,a2,a3,a4,a6] |
j |
949862087/928326 |
j-invariant |
L |
8.4862487276605 |
L(r)(E,1)/r! |
Ω |
1.0607811057704 |
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 |
29946b1 |
Quadratic twists by: -3 |