Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6640b |
Isogeny class |
Conductor |
6640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2124800 = -1 · 210 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,80] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [-2:10:1] |
Generators of the group modulo torsion |
j |
-470596/2075 |
j-invariant |
L |
4.2146058830207 |
L(r)(E,1)/r! |
Ω |
2.2693570624963 |
Real period |
R |
0.2321475734621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3320a1 26560r1 59760m1 33200a1 |
Quadratic twists by: -4 8 -3 5 |