Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410j |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
2.9802889735016E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 2 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2097161,-1139932617] |
[a1,a2,a3,a4,a6] |
Generators |
[1887:39384:1] |
Generators of the group modulo torsion |
j |
7962857630209/232652800 |
j-invariant |
L |
7.8521990458891 |
L(r)(E,1)/r! |
Ω |
0.12568036380629 |
Real period |
R |
0.45939362317041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710b1 |
Quadratic twists by: -71 |