Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928b |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
242189968384 = 210 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3211,-65910] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:60:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.2417266529449 |
L(r)(E,1)/r! |
Ω |
0.63685447301887 |
Real period |
R |
2.5451078623804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9464d2 75712bs2 112b2 |
Quadratic twists by: -4 8 13 |