Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032q |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
6965712 = 24 · 32 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59,102] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
1443776512/435357 |
j-invariant |
L |
5.6552118448105 |
L(r)(E,1)/r! |
Ω |
2.1909058602116 |
Real period |
R |
1.2906104154252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064f1 57096h1 |
Quadratic twists by: -4 -3 |