Atkin-Lehner |
2- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
54112b |
Isogeny class |
Conductor |
54112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-108224 = -1 · 26 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 0 -1 2 -3 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
-3796416/1691 |
j-invariant |
L |
9.1731935327032 |
L(r)(E,1)/r! |
Ω |
3.126160414249 |
Real period |
R |
1.4671661586674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54112a1 108224e1 |
Quadratic twists by: -4 8 |