Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gn |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1.6212411113363E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,290004,-184161328] |
[a1,a2,a3,a4,a6] |
j |
1331/8 |
j-invariant |
L |
3.5248310743659 |
L(r)(E,1)/r! |
Ω |
0.11015096934453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344dk1 24336ch1 10816bo1 97344go1 |
Quadratic twists by: -4 8 -3 13 |