Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
66400f |
Isogeny class |
Conductor |
66400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-83000000 = -1 · 26 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -1 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1058,-13612] |
[a1,a2,a3,a4,a6] |
Generators |
[38:50:1] [104:1006:1] |
Generators of the group modulo torsion |
j |
-131096512/83 |
j-invariant |
L |
11.11408917264 |
L(r)(E,1)/r! |
Ω |
0.41850191464374 |
Real period |
R |
6.6392104693671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66400c1 2656b1 |
Quadratic twists by: -4 5 |