Atkin-Lehner |
2- 3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184s |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-1392304896 = -1 · 28 · 33 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 -2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,5498] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:102:1] |
Generators of the group modulo torsion |
j |
-2916548208/201433 |
j-invariant |
L |
5.1445890782163 |
L(r)(E,1)/r! |
Ω |
1.49352221765 |
Real period |
R |
0.14352506827663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368e1 50184b1 |
Quadratic twists by: -4 -3 |