Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218b |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
49057344 = 26 · 32 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:17:1] [-2:13:1] |
Generators of the group modulo torsion |
j |
6967871/4032 |
j-invariant |
L |
4.2427292632363 |
L(r)(E,1)/r! |
Ω |
1.6975196917474 |
Real period |
R |
1.2496848442653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66654bn1 22218i1 |
Quadratic twists by: -3 -23 |