Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220u |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-73630342759680 = -1 · 28 · 312 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7953,-309706] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1458:1] |
Generators of the group modulo torsion |
j |
298091207216/394538445 |
j-invariant |
L |
5.8562827711335 |
L(r)(E,1)/r! |
Ω |
0.32733882200581 |
Real period |
R |
1.4908820202678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740a2 |
Quadratic twists by: -3 |