Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850y |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-16592000 = -1 · 27 · 53 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- 1 5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-493,4177] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-11:1] |
Generators of the group modulo torsion |
j |
-106025300837/132736 |
j-invariant |
L |
12.236787078307 |
L(r)(E,1)/r! |
Ω |
2.1915246873467 |
Real period |
R |
0.39883475870608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850h1 |
Quadratic twists by: 5 |