Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575bd |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.0874679861484E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17569130,35874131622] |
[a1,a2,a3,a4,a6] |
Generators |
[1454:-116490:1] |
Generators of the group modulo torsion |
j |
-52653458609244415441/18326193568381125 |
j-invariant |
L |
4.249612788705 |
L(r)(E,1)/r! |
Ω |
0.09433135398621 |
Real period |
R |
1.4078076273822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525h3 12915d4 |
Quadratic twists by: -3 5 |