Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24720b |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8643907660800 = -1 · 210 · 3 · 52 · 1034 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1936,-144560] |
[a1,a2,a3,a4,a6] |
j |
-784086760516/8441316075 |
j-invariant |
L |
0.62368404375272 |
L(r)(E,1)/r! |
Ω |
0.31184202187636 |
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 |
12360c4 98880cb3 74160r3 123600k3 |
Quadratic twists by: -4 8 -3 5 |