Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32450r |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
33696080000000 = 210 · 57 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-683005,-217091003] |
[a1,a2,a3,a4,a6] |
Generators |
[983:7296:1] |
Generators of the group modulo torsion |
j |
2255146390718456409/2156549120 |
j-invariant |
L |
8.6117581068057 |
L(r)(E,1)/r! |
Ω |
0.16607094560099 |
Real period |
R |
2.592794927385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490c2 |
Quadratic twists by: 5 |