Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775s |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20844140625 = 32 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1401,18823] |
[a1,a2,a3,a4,a6] |
Generators |
[1:131:1] |
Generators of the group modulo torsion |
j |
19443408769/1334025 |
j-invariant |
L |
5.6822584305503 |
L(r)(E,1)/r! |
Ω |
1.1892591287675 |
Real period |
R |
2.3889908822644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400dv2 17325bg2 1155a2 40425j2 |
Quadratic twists by: -4 -3 5 -7 |