Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424o |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-6249951199088 = -1 · 24 · 198 · 23 |
Discriminant |
Eigenvalues |
2- 3 0 -2 -6 3 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1805,116603] |
[a1,a2,a3,a4,a6] |
j |
864000/8303 |
j-invariant |
L |
2.2131188684963 |
L(r)(E,1)/r! |
Ω |
0.55327971923512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496c1 |
Quadratic twists by: -19 |