Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616p |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-647212032 = -1 · 210 · 37 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -4 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,73474] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-4:1] [-19:360:1] |
Generators of the group modulo torsion |
j |
-18674500/3 |
j-invariant |
L |
8.6293227094249 |
L(r)(E,1)/r! |
Ω |
1.5665610744564 |
Real period |
R |
0.68855619883981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808bb1 13872i1 41616bd1 |
Quadratic twists by: -4 -3 17 |