Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306p |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.0058970671396E+23 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -3 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14631179,563543597] |
[a1,a2,a3,a4,a6] |
j |
2944241272467841599287/1704984374826500096 |
j-invariant |
L |
1.0828527456994 |
L(r)(E,1)/r! |
Ω |
0.060158485668714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9758e2 |
Quadratic twists by: -7 |