Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970by |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
659518943531250 = 2 · 3 · 56 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36605,-2411023] |
[a1,a2,a3,a4,a6] |
Generators |
[23566:1264763:8] |
Generators of the group modulo torsion |
j |
3061889942761/372281250 |
j-invariant |
L |
10.159157239266 |
L(r)(E,1)/r! |
Ω |
0.34790385439704 |
Real period |
R |
4.866841375137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270f2 |
Quadratic twists by: -11 |