Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286bo |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-1529747061866496 = -1 · 219 · 33 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-110415,14237433] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-2931:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
12.892709514031 |
L(r)(E,1)/r! |
Ω |
0.47878691017839 |
Real period |
R |
0.23620934637358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366c1 |
Quadratic twists by: -11 |