Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528a |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8549460842496 = -1 · 211 · 3 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4496,-81056] |
[a1,a2,a3,a4,a6] |
j |
4906548184606/4174541427 |
j-invariant |
L |
1.6208875297105 |
L(r)(E,1)/r! |
Ω |
0.40522188242763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12264g4 98112by3 73584e3 |
Quadratic twists by: -4 8 -3 |