Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032m |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
325989996157952 = 210 · 712 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- -4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18440,-411424] |
[a1,a2,a3,a4,a6] |
Generators |
[-7772:9555:64] |
Generators of the group modulo torsion |
j |
5756278756/2705927 |
j-invariant |
L |
5.0782250064178 |
L(r)(E,1)/r! |
Ω |
0.42886434218294 |
Real period |
R |
5.9205493520042 |
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 |
9016e2 72128cf2 2576d2 |
Quadratic twists by: -4 8 -7 |