Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240eg |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.7919286774635E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49772748,-135097890928] |
[a1,a2,a3,a4,a6] |
Generators |
[-22818815436193987582:-23229734300170444800:5524300294009433] |
Generators of the group modulo torsion |
j |
71356102305927901489/35540674560000 |
j-invariant |
L |
4.6287444154457 |
L(r)(E,1)/r! |
Ω |
0.056841382540954 |
Real period |
R |
20.358162524966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995587 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bs2 16560br2 22080cg2 |
Quadratic twists by: -4 8 -3 |