Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968q |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
186457531392 = 210 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,12670] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:144:1] |
Generators of the group modulo torsion |
j |
592143556/249777 |
j-invariant |
L |
3.5922989317689 |
L(r)(E,1)/r! |
Ω |
0.9128808716524 |
Real period |
R |
1.967561728655 |
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 |
45936p1 7656d1 |
Quadratic twists by: -4 -3 |