Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610f |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2780405760000 = 216 · 3 · 54 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3547,-14819] |
[a1,a2,a3,a4,a6] |
j |
4937402992298041/2780405760000 |
j-invariant |
L |
1.3318864098222 |
L(r)(E,1)/r! |
Ω |
0.66594320491108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880cu1 16830cf1 28050da1 61710ca1 |
Quadratic twists by: -4 -3 5 -11 |