Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11590g |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-11793362405120000 = -1 · 211 · 54 · 195 · 612 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27816,-5523904] |
[a1,a2,a3,a4,a6] |
Generators |
[376:5912:1] |
Generators of the group modulo torsion |
j |
-2380174077466631809/11793362405120000 |
j-invariant |
L |
7.6756412708535 |
L(r)(E,1)/r! |
Ω |
0.16694714676127 |
Real period |
R |
1.044919879756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92720u1 104310z1 57950f1 |
Quadratic twists by: -4 -3 5 |