Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19032n |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17386417152 = -1 · 210 · 33 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,312,-6084] |
[a1,a2,a3,a4,a6] |
Generators |
[17:62:1] |
Generators of the group modulo torsion |
j |
3269601500/16978923 |
j-invariant |
L |
4.2707717095575 |
L(r)(E,1)/r! |
Ω |
0.61857222427409 |
Real period |
R |
3.4521204977878 |
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 |
38064l2 57096g2 |
Quadratic twists by: -4 -3 |