Atkin-Lehner |
5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2665a |
Isogeny class |
Conductor |
2665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7102225 = -1 · 52 · 132 · 412 |
Discriminant |
Eigenvalues |
1 0 5+ 2 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50,-175] |
[a1,a2,a3,a4,a6] |
j |
-13980103929/7102225 |
j-invariant |
L |
1.7516329681361 |
L(r)(E,1)/r! |
Ω |
0.87581648406803 |
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 |
42640e2 23985m2 13325f2 34645k2 |
Quadratic twists by: -4 -3 5 13 |