Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bx |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-789699456 = -1 · 27 · 37 · 7 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,121,-1281] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
270840023/1083264 |
j-invariant |
L |
7.8149609242226 |
L(r)(E,1)/r! |
Ω |
0.80728692252681 |
Real period |
R |
0.69146604387307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926p1 |
Quadratic twists by: -3 |