Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960p |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-210750056142080 = -1 · 28 · 5 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18636,1196600] |
[a1,a2,a3,a4,a6] |
Generators |
[31:806:1] |
Generators of the group modulo torsion |
j |
-485043664/142805 |
j-invariant |
L |
6.3909508709632 |
L(r)(E,1)/r! |
Ω |
0.5327979930221 |
Real period |
R |
2.9987682736777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12740b1 50960bp1 |
Quadratic twists by: -4 -7 |