Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024o |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-419487744 = -1 · 213 · 3 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,-1644] |
[a1,a2,a3,a4,a6] |
Generators |
[23:78:1] |
Generators of the group modulo torsion |
j |
-273359449/102414 |
j-invariant |
L |
5.359743947144 |
L(r)(E,1)/r! |
Ω |
0.61102071499287 |
Real period |
R |
2.1929469064011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7878a1 |
Quadratic twists by: -4 |