Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830g |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
-70525718793420800 = -1 · 217 · 52 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 5 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33127,12972341] |
[a1,a2,a3,a4,a6] |
j |
-832972004929/14611251200 |
j-invariant |
L |
1.1681851385882 |
L(r)(E,1)/r! |
Ω |
0.29204628464706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640ct1 106470eg1 59150bt1 82810h1 |
Quadratic twists by: -4 -3 5 -7 |