Atkin-Lehner |
3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5865b |
Isogeny class |
Conductor |
5865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1926705285 = 34 · 5 · 17 · 234 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-552,-4761] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:191:8] |
Generators of the group modulo torsion |
j |
18653901818761/1926705285 |
j-invariant |
L |
4.1855280014871 |
L(r)(E,1)/r! |
Ω |
0.99128694051741 |
Real period |
R |
4.2223173033051 |
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 |
93840cn4 17595m3 29325q4 99705o4 |
Quadratic twists by: -4 -3 5 17 |