Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096a |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-107502690048 = -1 · 28 · 3 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268,-15776] |
[a1,a2,a3,a4,a6] |
Generators |
[810:7939:8] |
Generators of the group modulo torsion |
j |
-8346562000/419932383 |
j-invariant |
L |
2.8548674423592 |
L(r)(E,1)/r! |
Ω |
0.4637247086354 |
Real period |
R |
6.1563841417038 |
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 |
9048g2 72384du2 54288h2 |
Quadratic twists by: -4 8 -3 |