Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544be |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.0526189471796E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-409126476,-3155787112336] |
[a1,a2,a3,a4,a6] |
j |
79260902459030376659234/842751810121431609 |
j-invariant |
L |
1.209251408723 |
L(r)(E,1)/r! |
Ω |
0.033590317106754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544em3 8568c4 22848h3 |
Quadratic twists by: -4 8 -3 |