Atkin-Lehner |
2+ 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14570b |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
903340000 = 25 · 54 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8005,-273675] |
[a1,a2,a3,a4,a6] |
Generators |
[105:135:1] |
Generators of the group modulo torsion |
j |
56733325072590249/903340000 |
j-invariant |
L |
1.7377871643952 |
L(r)(E,1)/r! |
Ω |
0.50472764481001 |
Real period |
R |
3.4430195814801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116560i2 72850o2 |
Quadratic twists by: -4 5 |