Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bk |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7490815752655872 = 210 · 314 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134211,-18460946] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:680:1] [-189:392:1] |
Generators of the group modulo torsion |
j |
3044193988/85293 |
j-invariant |
L |
8.532708518891 |
L(r)(E,1)/r! |
Ω |
0.2498595319359 |
Real period |
R |
8.5375055063742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728z4 15288j3 936i3 |
Quadratic twists by: -4 -3 -7 |