Atkin-Lehner |
7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50813d |
Isogeny class |
Conductor |
50813 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-854014091 = -1 · 77 · 17 · 61 |
Discriminant |
Eigenvalues |
-1 -1 -3 7- -1 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,48,1420] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
103823/7259 |
j-invariant |
L |
2.2801111077184 |
L(r)(E,1)/r! |
Ω |
1.2075909484764 |
Real period |
R |
0.94407427889435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259c1 |
Quadratic twists by: -7 |