Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87814j |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-44275573123123456 = -1 · 28 · 232 · 836 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26507,10256881] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:2585:1] [144:2999:1] |
Generators of the group modulo torsion |
j |
-3893595204615457/83696735582464 |
j-invariant |
L |
8.6443447038391 |
L(r)(E,1)/r! |
Ω |
0.30247001623356 |
Real period |
R |
0.59539956028555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87814g2 |
Quadratic twists by: -23 |