Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140a |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
2409322960 = 24 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3388,-75867] |
[a1,a2,a3,a4,a6] |
Generators |
[4389492695536:12777338489475:61723537408] |
Generators of the group modulo torsion |
j |
151732224/85 |
j-invariant |
L |
6.6381311619343 |
L(r)(E,1)/r! |
Ω |
0.62578955036433 |
Real period |
R |
21.215218944026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
340a1 |
Quadratic twists by: -11 |