Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776a |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
808046928 = 24 · 36 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23083,1357576] |
[a1,a2,a3,a4,a6] |
Generators |
[87:17:1] |
Generators of the group modulo torsion |
j |
85015732000000000/50502933 |
j-invariant |
L |
5.104482579316 |
L(r)(E,1)/r! |
Ω |
1.3095823132065 |
Real period |
R |
1.9488971895236 |
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 |
45552e1 68328e1 |
Quadratic twists by: -4 -3 |