Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eu |
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 |
[-3526:41616:1] |
Generators of the group modulo torsion |
j |
1044942448578893426/7759962920241 |
j-invariant |
L |
6.9544270631217 |
L(r)(E,1)/r! |
Ω |
0.16094500843371 |
Real period |
R |
1.8004149189605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bo2 17136l2 22848ct2 |
Quadratic twists by: -4 8 -3 |