Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424g |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15520 |
Modular degree for the optimal curve |
Δ |
2524112 = 24 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-139,582] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:19:1] |
Generators of the group modulo torsion |
j |
2725888/23 |
j-invariant |
L |
3.0141127779121 |
L(r)(E,1)/r! |
Ω |
2.5836853621237 |
Real period |
R |
1.1665943627167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66424b1 |
Quadratic twists by: -19 |