Atkin-Lehner |
5+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975a |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-382750869921875 = -1 · 58 · 7 · 136 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19033,1387468] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:1098:1] |
Generators of the group modulo torsion |
j |
-48803194077184/24496055675 |
j-invariant |
L |
3.2547880529726 |
L(r)(E,1)/r! |
Ω |
0.49843141786976 |
Real period |
R |
1.6325154958808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195g1 |
Quadratic twists by: 5 |