Atkin-Lehner |
3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5865b |
Isogeny class |
Conductor |
5865 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
5865 = 3 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,471] |
[a1,a2,a3,a4,a6] |
Generators |
[70:549:1] |
Generators of the group modulo torsion |
j |
203401212841/5865 |
j-invariant |
L |
4.1855280014871 |
L(r)(E,1)/r! |
Ω |
3.9651477620696 |
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 |
93840cn1 17595m1 29325q1 99705o1 |
Quadratic twists by: -4 -3 5 17 |