Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736a |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
65237347457296 = 24 · 78 · 294 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -3 -6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-471396,124416263] |
[a1,a2,a3,a4,a6] |
Generators |
[48305:41209:125] |
Generators of the group modulo torsion |
j |
125596636689664/707281 |
j-invariant |
L |
5.1025183822092 |
L(r)(E,1)/r! |
Ω |
0.55082101631325 |
Real period |
R |
1.5439130047365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368h1 90944cu1 22736h1 |
Quadratic twists by: -4 8 -7 |