Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386z |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-21032186413056 = -1 · 228 · 3 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3829,-239071] |
[a1,a2,a3,a4,a6] |
Generators |
[658:16471:1] |
Generators of the group modulo torsion |
j |
-6208503067778257/21032186413056 |
j-invariant |
L |
9.0361967257362 |
L(r)(E,1)/r! |
Ω |
0.27901649787396 |
Real period |
R |
2.3132776311974 |
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 |
67158q1 |
Quadratic twists by: -3 |