Atkin-Lehner |
2+ 3+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504b |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22057475079168 = -1 · 210 · 32 · 23 · 1014 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1016,225280] |
[a1,a2,a3,a4,a6] |
j |
113155939292/21540503007 |
j-invariant |
L |
1.0477638750975 |
L(r)(E,1)/r! |
Ω |
0.52388228801814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55752g3 |
Quadratic twists by: -4 |