Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.5755041503541E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2450124,-810498960] |
[a1,a2,a3,a4,a6] |
Generators |
[-67095:2338479:125] |
Generators of the group modulo torsion |
j |
8511781274893233/3440817243136 |
j-invariant |
L |
7.5136911387122 |
L(r)(E,1)/r! |
Ω |
0.12499003619959 |
Real period |
R |
7.5142901058101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416gn2 1638e2 5824e2 |
Quadratic twists by: -4 8 -3 |