Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640r |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
11356637184000 = 214 · 33 · 53 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36565,-2674163] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:59:1] |
Generators of the group modulo torsion |
j |
329998817296384/693154125 |
j-invariant |
L |
3.7272840088022 |
L(r)(E,1)/r! |
Ω |
0.34529236610352 |
Real period |
R |
1.1993971147994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cy2 3540f2 |
Quadratic twists by: -4 8 |