Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6003721521985E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14735187,10174818834] |
[a1,a2,a3,a4,a6] |
Generators |
[17463:2253510:1] |
Generators of the group modulo torsion |
j |
118495863754334673489/53596139570691200 |
j-invariant |
L |
7.7815354229748 |
L(r)(E,1)/r! |
Ω |
0.091782345818398 |
Real period |
R |
5.2989053566811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710j4 9520h4 |
Quadratic twists by: -4 -3 |