Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bz |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-316427477184 = -1 · 26 · 38 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -4 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34698,2487886] |
[a1,a2,a3,a4,a6] |
Generators |
[101:117:1] |
Generators of the group modulo torsion |
j |
-99021508447744/6782139 |
j-invariant |
L |
4.1725367521138 |
L(r)(E,1)/r! |
Ω |
0.91840955727778 |
Real period |
R |
0.75720334844197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416cx1 26208i1 17472ba1 |
Quadratic twists by: -4 8 -3 |