Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eb |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.1389416153079E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1224516,-471699520] |
[a1,a2,a3,a4,a6] |
j |
68003243639904448/7163272192041 |
j-invariant |
L |
1.1559715396199 |
L(r)(E,1)/r! |
Ω |
0.14449644414271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544ex2 34272m1 22848bt2 |
Quadratic twists by: -4 8 -3 |