Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ew |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-995044585219776 = -1 · 26 · 320 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8454,-1546886] |
[a1,a2,a3,a4,a6] |
Generators |
[969901:10396521:4913] |
Generators of the group modulo torsion |
j |
-1432197595648/21327258771 |
j-invariant |
L |
4.3192998454183 |
L(r)(E,1)/r! |
Ω |
0.21167021683452 |
Real period |
R |
10.202899373439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gc1 26208n1 17472cp1 |
Quadratic twists by: -4 8 -3 |