Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690c |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.7331704112339E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15193458,20806656948] |
[a1,a2,a3,a4,a6] |
Generators |
[-4453:15954:1] |
Generators of the group modulo torsion |
j |
16069416876629693641/1546622367494400 |
j-invariant |
L |
2.6825207375049 |
L(r)(E,1)/r! |
Ω |
0.112319006548 |
Real period |
R |
5.9707631416222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996389 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570p2 |
Quadratic twists by: 17 |