Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218r |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
44436 = 22 · 3 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 4 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,5] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
279841/84 |
j-invariant |
L |
6.6545979499995 |
L(r)(E,1)/r! |
Ω |
3.3395123815142 |
Real period |
R |
0.99634275752889 |
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 |
66654g1 22218x1 |
Quadratic twists by: -3 -23 |