Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585g |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41824111455 = 310 · 5 · 74 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14243,-650604] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:41:1] |
Generators of the group modulo torsion |
j |
438300554728681/57371895 |
j-invariant |
L |
2.4090814430128 |
L(r)(E,1)/r! |
Ω |
0.43702368977025 |
Real period |
R |
2.756236674812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195c4 92925p4 |
Quadratic twists by: -3 5 |