Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775s |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6190078125 = 3 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22026,1256323] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1046:1] |
Generators of the group modulo torsion |
j |
75627935783569/396165 |
j-invariant |
L |
5.6822584305503 |
L(r)(E,1)/r! |
Ω |
1.1892591287675 |
Real period |
R |
1.1944954411322 |
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 |
92400dv4 17325bg3 1155a3 40425j4 |
Quadratic twists by: -4 -3 5 -7 |