Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bg |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
499155959250000 = 24 · 312 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25233,1098288] |
[a1,a2,a3,a4,a6] |
Generators |
[273:-3825:1] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
7.3179881716456 |
L(r)(E,1)/r! |
Ω |
0.48739066960568 |
Real period |
R |
0.4170729188998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652a1 |
Quadratic twists by: 5 |