Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368bb |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
8673999228120663808 = 28 · 75 · 1710 |
Discriminant |
Eigenvalues |
2- -1 2 7- -4 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1030092,-376286852] |
[a1,a2,a3,a4,a6] |
Generators |
[1221:13594:1] |
Generators of the group modulo torsion |
j |
234219472/16807 |
j-invariant |
L |
4.4693133572969 |
L(r)(E,1)/r! |
Ω |
0.15053642438511 |
Real period |
R |
5.9378497603527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092a1 129472cz1 32368o1 |
Quadratic twists by: -4 8 17 |