Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bd |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-152466365171250000 = -1 · 24 · 33 · 57 · 135 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -5 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-282651,60790198] |
[a1,a2,a3,a4,a6] |
Generators |
[622:-11524:1] [323:1632:1] |
Generators of the group modulo torsion |
j |
-159828070411428769/9757847370960 |
j-invariant |
L |
7.1296905050305 |
L(r)(E,1)/r! |
Ω |
0.32008795608118 |
Real period |
R |
0.061872668030933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970j1 |
Quadratic twists by: 5 |