Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bg |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
110387200 = 213 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296,-1996] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
14338681/550 |
j-invariant |
L |
6.2620509239505 |
L(r)(E,1)/r! |
Ω |
1.1533978492217 |
Real period |
R |
0.67865252741886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390i1 43120cc1 |
Quadratic twists by: -4 -7 |