Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bo |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.4147600385385E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9665004,-11490702928] |
[a1,a2,a3,a4,a6] |
Generators |
[5974:379440:1] |
Generators of the group modulo torsion |
j |
1044942448578893426/7759962920241 |
j-invariant |
L |
7.3844285530039 |
L(r)(E,1)/r! |
Ω |
0.085663037731718 |
Real period |
R |
3.5918002813712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544eu2 8568j2 22848c2 |
Quadratic twists by: -4 8 -3 |