Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cp |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
294916866048 = 214 · 32 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,22128] |
[a1,a2,a3,a4,a6] |
j |
1771561/612 |
j-invariant |
L |
3.5739291171017 |
L(r)(E,1)/r! |
Ω |
0.89348227926212 |
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 |
4998x1 119952fv1 816j1 |
Quadratic twists by: -4 -3 -7 |