Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640by |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-764640000000000 = -1 · 214 · 34 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36241,-2958095] |
[a1,a2,a3,a4,a6] |
Generators |
[19753194440:-1101025136043:6331625] |
Generators of the group modulo torsion |
j |
-321304105131856/46669921875 |
j-invariant |
L |
5.9805140572674 |
L(r)(E,1)/r! |
Ω |
0.17162881163153 |
Real period |
R |
17.422814970489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640y2 14160i2 |
Quadratic twists by: -4 8 |