Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700n |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-6023857632000 = -1 · 28 · 3 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9013,352897] |
[a1,a2,a3,a4,a6] |
Generators |
[48:169:1] |
Generators of the group modulo torsion |
j |
-524288/39 |
j-invariant |
L |
5.493035459103 |
L(r)(E,1)/r! |
Ω |
0.74227293008339 |
Real period |
R |
0.92503633711972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700bk1 3900e1 |
Quadratic twists by: 5 13 |