Atkin-Lehner |
2- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
54112a |
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 |
[5:6:1] |
Generators of the group modulo torsion |
j |
-3796416/1691 |
j-invariant |
L |
4.0132953008887 |
L(r)(E,1)/r! |
Ω |
1.2305962471469 |
Real period |
R |
1.6306303997941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54112b1 108224f1 |
Quadratic twists by: -4 8 |