Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294z |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9268217311626 = -1 · 2 · 316 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2898,159030] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:411:1] |
Generators of the group modulo torsion |
j |
-1680914269/5786802 |
j-invariant |
L |
2.8050682057082 |
L(r)(E,1)/r! |
Ω |
0.63910102653137 |
Real period |
R |
1.0972710452885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098y2 21294cv2 |
Quadratic twists by: -3 13 |