Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bk |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7923743195136000 = 220 · 3 · 53 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517985,-143599617] |
[a1,a2,a3,a4,a6] |
Generators |
[44067:1565360:27] |
Generators of the group modulo torsion |
j |
58632198501774169/30226681500 |
j-invariant |
L |
8.6017821734059 |
L(r)(E,1)/r! |
Ω |
0.17796460166148 |
Real period |
R |
8.0557051728477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cc4 2010a3 |
Quadratic twists by: -4 8 |