Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944p |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
36296696595456 = 210 · 310 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145868259,678093080690] |
[a1,a2,a3,a4,a6] |
Generators |
[6635:48490:1] |
Generators of the group modulo torsion |
j |
459810226079738871007108/48622761 |
j-invariant |
L |
6.0565243655544 |
L(r)(E,1)/r! |
Ω |
0.25433500172341 |
Real period |
R |
5.953294203293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472u1 21648e1 |
Quadratic twists by: -4 -3 |