Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830o |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1537338666500 = 22 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4933,-118023] |
[a1,a2,a3,a4,a6] |
j |
2749884201/318500 |
j-invariant |
L |
2.2959166296517 |
L(r)(E,1)/r! |
Ω |
0.57397915741293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640ca1 106470cj1 59150g1 82810ck1 |
Quadratic twists by: -4 -3 5 -7 |