Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775a |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-7958671875 = -1 · 33 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,-4282] |
[a1,a2,a3,a4,a6] |
Generators |
[32:162:1] |
Generators of the group modulo torsion |
j |
-262144/509355 |
j-invariant |
L |
2.5566106409634 |
L(r)(E,1)/r! |
Ω |
0.59465134471038 |
Real period |
R |
2.1496719579509 |
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 |
92400hl1 17325m1 1155j1 40425cc1 |
Quadratic twists by: -4 -3 5 -7 |