Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200di |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18113536000 = -1 · 213 · 53 · 72 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,632,-1932] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-152:1] |
Generators of the group modulo torsion |
j |
54439939/35378 |
j-invariant |
L |
3.6152859769721 |
L(r)(E,1)/r! |
Ω |
0.70090243915615 |
Real period |
R |
0.64475556350733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6650p2 53200du2 |
Quadratic twists by: -4 5 |