Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050p |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-947968000000 = -1 · 214 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,862,45892] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:190:1] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
4.3659548730883 |
L(r)(E,1)/r! |
Ω |
0.65303083392846 |
Real period |
R |
0.47754853722646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bs1 72450ba1 322b1 56350bp1 |
Quadratic twists by: -4 -3 5 -7 |