Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294ba |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-108229520600838 = -1 · 2 · 36 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 5 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25128,1619086] |
[a1,a2,a3,a4,a6] |
Generators |
[2415:6482:27] |
Generators of the group modulo torsion |
j |
-226981/14 |
j-invariant |
L |
3.4224327619104 |
L(r)(E,1)/r! |
Ω |
0.58558526606397 |
Real period |
R |
2.9222326450547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366n1 21294cw1 |
Quadratic twists by: -3 13 |