Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864cd |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-26727347060773632 = -1 · 28 · 37 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86583,-12570950] |
[a1,a2,a3,a4,a6] |
Generators |
[525:9310:1] |
Generators of the group modulo torsion |
j |
-3269383504/1217307 |
j-invariant |
L |
8.1863638638995 |
L(r)(E,1)/r! |
Ω |
0.13662186227414 |
Real period |
R |
3.7449917090595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728cc2 15288t2 6552ba2 |
Quadratic twists by: -4 -3 -7 |