Atkin-Lehner |
2+ 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798g |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-199413471117312 = -1 · 218 · 38 · 23 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8974,753344] |
[a1,a2,a3,a4,a6] |
j |
-79912062246310489/199413471117312 |
j-invariant |
L |
3.9965316916826 |
L(r)(E,1)/r! |
Ω |
0.49956646146033 |
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 |
78384l1 29394f1 |
Quadratic twists by: -4 -3 |