Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776g |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
11069136 = 24 · 36 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307,-2170] |
[a1,a2,a3,a4,a6] |
Generators |
[26:90:1] |
Generators of the group modulo torsion |
j |
200647026688/691821 |
j-invariant |
L |
7.2913566204441 |
L(r)(E,1)/r! |
Ω |
1.1404787045664 |
Real period |
R |
2.1310807445008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552b1 68328c1 |
Quadratic twists by: -4 -3 |