Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018w |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-28356560346114 = -1 · 2 · 33 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13304,-640467] |
[a1,a2,a3,a4,a6] |
Generators |
[3262:61155:8] |
Generators of the group modulo torsion |
j |
-9644418614155779/1050242975782 |
j-invariant |
L |
8.7634402332822 |
L(r)(E,1)/r! |
Ω |
0.22091056717063 |
Real period |
R |
3.9669628961268 |
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 |
18018c2 126126dx2 |
Quadratic twists by: -3 -7 |