Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610w |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5600 |
Modular degree for the optimal curve |
Δ |
-75905555220 = -1 · 22 · 35 · 5 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86,13223] |
[a1,a2,a3,a4,a6] |
j |
-70393838689/75905555220 |
j-invariant |
L |
1.7565911397213 |
L(r)(E,1)/r! |
Ω |
0.87829556986063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880cj1 16830be1 28050ba1 61710d1 |
Quadratic twists by: -4 -3 5 -11 |