Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432ba |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2856791834624 = 220 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4264,-71244] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:182:1] |
Generators of the group modulo torsion |
j |
2093713241257/697458944 |
j-invariant |
L |
3.3035237245534 |
L(r)(E,1)/r! |
Ω |
0.60661121247801 |
Real period |
R |
0.90764442884237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554b1 |
Quadratic twists by: -4 |