Atkin-Lehner |
3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50337b |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-86960928831651 = -1 · 39 · 76 · 17 · 472 |
Discriminant |
Eigenvalues |
2 3+ 1 7+ -3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11043,42329] |
[a1,a2,a3,a4,a6] |
j |
7566475603968/4418072897 |
j-invariant |
L |
2.9281096588621 |
L(r)(E,1)/r! |
Ω |
0.36601370736593 |
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 |
50337a1 |
Quadratic twists by: -3 |