Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376u |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3967714226944 = -1 · 28 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 3 3 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2704,-79092] |
[a1,a2,a3,a4,a6] |
Generators |
[302:5318:1] |
Generators of the group modulo torsion |
j |
1769472/3211 |
j-invariant |
L |
8.3845102013052 |
L(r)(E,1)/r! |
Ω |
0.41019284420918 |
Real period |
R |
5.1101026746914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844b1 3952e1 |
Quadratic twists by: -4 13 |