Atkin-Lehner |
2- 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110s |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-724500480 = -1 · 216 · 3 · 5 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,145,-1095] |
[a1,a2,a3,a4,a6] |
Generators |
[42:261:1] |
Generators of the group modulo torsion |
j |
337008232079/724500480 |
j-invariant |
L |
8.9609157199674 |
L(r)(E,1)/r! |
Ω |
0.83359292766407 |
Real period |
R |
2.6874375437295 |
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 |
66330n1 110550d1 |
Quadratic twists by: -3 5 |