Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032k |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-43294832 = -1 · 24 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 2 -7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212,1303] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:49:1] |
Generators of the group modulo torsion |
j |
-562432/23 |
j-invariant |
L |
4.3556011180438 |
L(r)(E,1)/r! |
Ω |
2.0124046164864 |
Real period |
R |
1.0821882146267 |
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 |
9016b1 72128by1 368c1 |
Quadratic twists by: -4 8 -7 |