Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368n |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
425194111369216 = 219 · 7 · 415 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1010241,-391163617] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:32:1] |
Generators of the group modulo torsion |
j |
434969885624052241/1621986814 |
j-invariant |
L |
5.2526785035794 |
L(r)(E,1)/r! |
Ω |
0.15058904132027 |
Real period |
R |
1.7440440743653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18368x2 574j2 128576r2 |
Quadratic twists by: -4 8 -7 |