Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bw |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-553852189711993536 = -1 · 26 · 314 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,91428,34188338] |
[a1,a2,a3,a4,a6] |
Generators |
[1459:57213:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
5.8826148956942 |
L(r)(E,1)/r! |
Ω |
0.21169635986106 |
Real period |
R |
4.6313305367783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gj1 819d1 17472c1 |
Quadratic twists by: -4 8 -3 |