Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775k |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
312662109375 = 33 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18200,937125] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:945:1] |
Generators of the group modulo torsion |
j |
341385539669/160083 |
j-invariant |
L |
3.8416979876581 |
L(r)(E,1)/r! |
Ω |
0.95333265747445 |
Real period |
R |
2.0148779953869 |
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 |
92400id2 17325bj2 5775z2 40425dc2 |
Quadratic twists by: -4 -3 5 -7 |