Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308d |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-686684196156754224 = -1 · 24 · 314 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18477,39874680] |
[a1,a2,a3,a4,a6] |
Generators |
[1368:50760:1] |
Generators of the group modulo torsion |
j |
-9033613312/8891539371 |
j-invariant |
L |
7.7436688772354 |
L(r)(E,1)/r! |
Ω |
0.23128168648429 |
Real period |
R |
4.7830782793464 |
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 |
89232bl1 66924o1 1716c1 |
Quadratic twists by: -4 -3 13 |