Atkin-Lehner |
5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2665b |
Isogeny class |
Conductor |
2665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18754312890625 = -1 · 58 · 134 · 412 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90216,10394234] |
[a1,a2,a3,a4,a6] |
j |
-81203493801081633409/18754312890625 |
j-invariant |
L |
1.3399256091534 |
L(r)(E,1)/r! |
Ω |
0.66996280457668 |
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 |
42640i2 23985k2 13325e2 34645g2 |
Quadratic twists by: -4 -3 5 13 |