Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704h |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 11- 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,3] |
[a1,a2,a3,a4,a6] |
Generators |
[11:27:1] |
Generators of the group modulo torsion |
j |
602275072/344817 |
j-invariant |
L |
3.8712176113797 |
L(r)(E,1)/r! |
Ω |
2.0060153192227 |
Real period |
R |
0.96490230515283 |
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 |
11352l1 90816cg1 68112h1 |
Quadratic twists by: -4 8 -3 |