Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800d |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
94178000000000 = 210 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3266408,2271149188] |
[a1,a2,a3,a4,a6] |
Generators |
[1018:1400:1] |
Generators of the group modulo torsion |
j |
240887993512424836/5886125 |
j-invariant |
L |
4.1178161351509 |
L(r)(E,1)/r! |
Ω |
0.43673139373713 |
Real period |
R |
1.1785894598655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400t2 17360b2 |
Quadratic twists by: -4 5 |