Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120f |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-25320211200 = -1 · 28 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71868,-7415692] |
[a1,a2,a3,a4,a6] |
j |
-219969716909056/135675 |
j-invariant |
L |
2.3326825244784 |
L(r)(E,1)/r! |
Ω |
0.14579265777991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48240o1 8040h1 120600by1 |
Quadratic twists by: -4 -3 5 |