Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944l |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-50118656 = -1 · 214 · 7 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,368] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-16:1] |
Generators of the group modulo torsion |
j |
-1771561/12236 |
j-invariant |
L |
4.4929911597293 |
L(r)(E,1)/r! |
Ω |
1.7239385681679 |
Real period |
R |
0.65155905823248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118c1 |
Quadratic twists by: -4 |