Atkin-Lehner |
2- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bq |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
881664 |
Modular degree for the optimal curve |
Δ |
-9798185196800 = -1 · 28 · 52 · 77 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11- 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698070,-224315163] |
[a1,a2,a3,a4,a6] |
j |
-1504804368040930723545/391927407872 |
j-invariant |
L |
1.3213407842384 |
L(r)(E,1)/r! |
Ω |
0.082583798988942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050bb1 |
Quadratic twists by: 5 |