Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ej |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13807632384 = 214 · 33 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636,-2480] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:56:1] |
Generators of the group modulo torsion |
j |
64314864/31213 |
j-invariant |
L |
4.2053800563271 |
L(r)(E,1)/r! |
Ω |
0.99817475504868 |
Real period |
R |
0.52663374261668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416i2 13104bn2 52416ei2 |
Quadratic twists by: -4 8 -3 |