Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560d |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13717094400 = 214 · 32 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4881,-129519] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:11:1] |
Generators of the group modulo torsion |
j |
785089500496/837225 |
j-invariant |
L |
3.1353091741828 |
L(r)(E,1)/r! |
Ω |
0.5712059796193 |
Real period |
R |
2.7444645941349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000434 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58560di2 7320q2 |
Quadratic twists by: -4 8 |