Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610f |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12804787777021680 = -1 · 24 · 3 · 5 · 1112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15147,5485101] |
[a1,a2,a3,a4,a6] |
j |
-384369029857072441/12804787777021680 |
j-invariant |
L |
1.3318864098222 |
L(r)(E,1)/r! |
Ω |
0.33297160245554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880cu3 16830cf4 28050da3 61710ca3 |
Quadratic twists by: -4 -3 5 -11 |