Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23465c |
Isogeny class |
Conductor |
23465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-117325 = -1 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- -4 -1 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
175959/325 |
j-invariant |
L |
2.0431529852494 |
L(r)(E,1)/r! |
Ω |
1.7379141356838 |
Real period |
R |
0.58781758640954 |
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 |
117325k1 23465d1 |
Quadratic twists by: 5 -19 |