Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22748d |
Isogeny class |
Conductor |
22748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-517943438011648 = -1 · 28 · 117 · 473 |
Discriminant |
Eigenvalues |
2- -2 0 1 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264788,52367236] |
[a1,a2,a3,a4,a6] |
Generators |
[304:242:1] |
Generators of the group modulo torsion |
j |
-4527142594000/1142053 |
j-invariant |
L |
3.6663389419837 |
L(r)(E,1)/r! |
Ω |
0.50889811742249 |
Real period |
R |
1.2007442539296 |
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 |
90992bc2 2068d2 |
Quadratic twists by: -4 -11 |