Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222g |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2604672 |
Modular degree for the optimal curve |
Δ |
-2811874801297522688 = -1 · 217 · 7 · 139 · 172 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4212103,-3327260611] |
[a1,a2,a3,a4,a6] |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
1.8968738329744 |
L(r)(E,1)/r! |
Ω |
0.052690939803835 |
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 |
3094g1 |
Quadratic twists by: 13 |