Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616f |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-24755860224 = -1 · 28 · 39 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 1 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,31212] |
[a1,a2,a3,a4,a6] |
Generators |
[33:81:1] |
Generators of the group modulo torsion |
j |
-27648 |
j-invariant |
L |
8.3760269040223 |
L(r)(E,1)/r! |
Ω |
1.1877009150157 |
Real period |
R |
1.7630757874581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808d1 41616i1 41616j1 |
Quadratic twists by: -4 -3 17 |