Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830x |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
10392409385540 = 22 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39465,3010357] |
[a1,a2,a3,a4,a6] |
Generators |
[62:865:1] |
Generators of the group modulo torsion |
j |
1408317602329/2153060 |
j-invariant |
L |
4.9078158888399 |
L(r)(E,1)/r! |
Ω |
0.72191005250139 |
Real period |
R |
3.3991879402666 |
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 |
94640dc1 106470s1 59150n1 82810ca1 |
Quadratic twists by: -4 -3 5 -7 |