Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400g |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
48024900000000 = 28 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13508,-499488] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:88:1] |
Generators of the group modulo torsion |
j |
68150496976/12006225 |
j-invariant |
L |
4.6546911392035 |
L(r)(E,1)/r! |
Ω |
0.4481871930724 |
Real period |
R |
2.5963990112303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988106 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200cz2 18480bg2 |
Quadratic twists by: -4 5 |