Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306k |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.2662086785794E+20 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-991181,661585077] |
[a1,a2,a3,a4,a6] |
j |
-915365676853713177/1076259618508816 |
j-invariant |
L |
2.0163276669635 |
L(r)(E,1)/r! |
Ω |
0.16802730447428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758a2 |
Quadratic twists by: -7 |