Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ca |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.0117282902308E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168539916,9673331343856] |
[a1,a2,a3,a4,a6] |
Generators |
[6230782251627:22149962544281495:493039] |
Generators of the group modulo torsion |
j |
-2770540998624539614657/209924951154647363208 |
j-invariant |
L |
5.7756467928518 |
L(r)(E,1)/r! |
Ω |
0.029932937554508 |
Real period |
R |
24.11911119097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544dq5 2142g6 22848bn5 |
Quadratic twists by: -4 8 -3 |