Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218a |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
-2.8835870392468E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -2 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1982967,-2799063603] |
[a1,a2,a3,a4,a6] |
j |
-478762350767/1600967592 |
j-invariant |
L |
1.0534071847609 |
L(r)(E,1)/r! |
Ω |
0.058522621375606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654bm1 22218g1 |
Quadratic twists by: -3 -23 |