Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096bb |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3617,82518] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1566:1] |
Generators of the group modulo torsion |
j |
327166871093248/71731413 |
j-invariant |
L |
6.8047136676701 |
L(r)(E,1)/r! |
Ω |
1.5022847518284 |
Real period |
R |
1.1323941182569 |
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 |
4524a1 72384cp1 54288bj1 |
Quadratic twists by: -4 8 -3 |