Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15678g |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-4891536 = -1 · 24 · 33 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,99] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] [3:11:1] |
Generators of the group modulo torsion |
j |
17779581/181168 |
j-invariant |
L |
7.9505669946077 |
L(r)(E,1)/r! |
Ω |
1.7885783066658 |
Real period |
R |
0.27782425589704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424m1 15678a1 |
Quadratic twists by: -4 -3 |