Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bx |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.4167990688483E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12002008,-10368633488] |
[a1,a2,a3,a4,a6] |
Generators |
[-60561739521:1860291078022:57960603] |
Generators of the group modulo torsion |
j |
2987483463723917521/1002624854507550 |
j-invariant |
L |
6.6499182151817 |
L(r)(E,1)/r! |
Ω |
0.083306531192088 |
Real period |
R |
19.956173064571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650g4 17040z3 |
Quadratic twists by: -4 5 |