Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320h |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
39184640 = 28 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,3146] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:627:8] |
Generators of the group modulo torsion |
j |
21882096/115 |
j-invariant |
L |
7.263680845115 |
L(r)(E,1)/r! |
Ω |
2.0564484459806 |
Real period |
R |
3.5321482732755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111320r1 |
Quadratic twists by: -11 |