Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470q |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-118528617187500 = -1 · 22 · 3 · 59 · 13 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10194,343536] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:428:1] |
Generators of the group modulo torsion |
j |
117153410812787231/118528617187500 |
j-invariant |
L |
10.317802676102 |
L(r)(E,1)/r! |
Ω |
0.38905597052138 |
Real period |
R |
4.4200164234619 |
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 |
85410o2 |
Quadratic twists by: -3 |