Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610r |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-10093752054144000 = -1 · 210 · 33 · 53 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43898,5987756] |
[a1,a2,a3,a4,a6] |
j |
-9354997870579612441/10093752054144000 |
j-invariant |
L |
2.2197265013923 |
L(r)(E,1)/r! |
Ω |
0.36995441689872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880bz1 16830ce1 28050by1 61710cx1 |
Quadratic twists by: -4 -3 5 -11 |