Atkin-Lehner |
2- 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650cl |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
750 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-3608710530474931200 = -1 · 210 · 315 · 52 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,181972,-86360688] |
[a1,a2,a3,a4,a6] |
Generators |
[718:20002:1] |
Generators of the group modulo torsion |
j |
26656139910445362455/144348421218997248 |
j-invariant |
L |
12.733718315156 |
L(r)(E,1)/r! |
Ω |
0.12523628252663 |
Real period |
R |
3.3892516415683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024374 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
100650l2 |
Quadratic twists by: 5 |