Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568s |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-20947989449769984 = -1 · 210 · 37 · 76 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19616,-7049904] |
[a1,a2,a3,a4,a6] |
j |
-6929294404/173881809 |
j-invariant |
L |
2.3246344179208 |
L(r)(E,1)/r! |
Ω |
0.16604531552882 |
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 |
101136e1 1032b1 |
Quadratic twists by: -4 -7 |