Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284l |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16992 |
Modular degree for the optimal curve |
Δ |
-18678528 = -1 · 28 · 32 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,207] |
[a1,a2,a3,a4,a6] |
j |
-90112/603 |
j-invariant |
L |
3.74634691345 |
L(r)(E,1)/r! |
Ω |
1.8731734591767 |
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 |
97284m1 |
Quadratic twists by: -11 |