Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654p |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6782976 |
Modular degree for the optimal curve |
Δ |
-5.755623647458E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4651596,12172558608] |
[a1,a2,a3,a4,a6] |
Generators |
[1984:102692:1] |
Generators of the group modulo torsion |
j |
-194975262337/1008189504 |
j-invariant |
L |
2.4613047058088 |
L(r)(E,1)/r! |
Ω |
0.096532429248414 |
Real period |
R |
1.0623824923873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218bf1 66654z1 |
Quadratic twists by: -3 -23 |