Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290h |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
21017901060 = 22 · 310 · 5 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-765,4401] |
[a1,a2,a3,a4,a6] |
j |
67967263441/28831140 |
j-invariant |
L |
2.1887872297978 |
L(r)(E,1)/r! |
Ω |
1.0943936149536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bn1 |
Quadratic twists by: -3 |