Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830h |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
61493546660 = 22 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1017,3281] |
[a1,a2,a3,a4,a6] |
j |
24137569/12740 |
j-invariant |
L |
1.9439555143146 |
L(r)(E,1)/r! |
Ω |
0.97197775715729 |
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 |
94640de1 106470ef1 59150bz1 82810q1 |
Quadratic twists by: -4 -3 5 -7 |