Atkin-Lehner |
2+ 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024a |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2749863168 = 28 · 34 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-372,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
22298697808/10741653 |
j-invariant |
L |
5.1298713066216 |
L(r)(E,1)/r! |
Ω |
1.1402946802895 |
Real period |
R |
2.2493621144689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31512c2 |
Quadratic twists by: -4 |