Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290y |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
174332768400 = 24 · 37 · 52 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1755,-19499] |
[a1,a2,a3,a4,a6] |
Generators |
[50:101:1] [-27:101:1] |
Generators of the group modulo torsion |
j |
820288712881/239139600 |
j-invariant |
L |
7.1068315579985 |
L(r)(E,1)/r! |
Ω |
0.75406768921063 |
Real period |
R |
0.58904124753032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430z1 |
Quadratic twists by: -3 |