Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032u |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
399714514239488 = 217 · 78 · 232 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136432,19327188] |
[a1,a2,a3,a4,a6] |
Generators |
[242:736:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
4.4724592076478 |
L(r)(E,1)/r! |
Ω |
0.5322573862607 |
Real period |
R |
1.0503516069238 |
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 |
2254f2 72128bj2 2576p2 |
Quadratic twists by: -4 8 -7 |