Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bi |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-97922732544 = -1 · 29 · 37 · 7 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,409,-14817] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1062:1] |
Generators of the group modulo torsion |
j |
10403062487/134324736 |
j-invariant |
L |
11.444044440623 |
L(r)(E,1)/r! |
Ω |
0.52280747188367 |
Real period |
R |
0.60804433839449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926g1 |
Quadratic twists by: -3 |