Atkin-Lehner |
2- 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8094f |
Isogeny class |
Conductor |
8094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
1659658512 = 24 · 3 · 193 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-334,1268] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:64:1] |
Generators of the group modulo torsion |
j |
4121396307937/1659658512 |
j-invariant |
L |
6.4751387249993 |
L(r)(E,1)/r! |
Ω |
1.3588980112078 |
Real period |
R |
0.79416540358367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64752g1 24282f1 |
Quadratic twists by: -4 -3 |