Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820f |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-37054744982640 = -1 · 24 · 313 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22986,1380645] |
[a1,a2,a3,a4,a6] |
j |
-693789080114944/19139847615 |
j-invariant |
L |
2.5921026263694 |
L(r)(E,1)/r! |
Ω |
0.64802565651195 |
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 |
50820c1 |
Quadratic twists by: -11 |