Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244bc |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
94643993808 = 24 · 36 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144000,21032541] |
[a1,a2,a3,a4,a6] |
Generators |
[375:4446:1] |
Generators of the group modulo torsion |
j |
28311552000000000/8114197 |
j-invariant |
L |
5.6417877904251 |
L(r)(E,1)/r! |
Ω |
0.85707110007904 |
Real period |
R |
1.0971061385339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6916e1 |
Quadratic twists by: -3 |