Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18060b |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9830419200 = 28 · 36 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5796,171720] |
[a1,a2,a3,a4,a6] |
Generators |
[18:270:1] |
Generators of the group modulo torsion |
j |
84128627757904/38400075 |
j-invariant |
L |
3.5437211465528 |
L(r)(E,1)/r! |
Ω |
1.2713935073264 |
Real period |
R |
0.4645455460396 |
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 |
72240cl2 54180u2 90300bg2 126420br2 |
Quadratic twists by: -4 -3 5 -7 |