Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864b |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
187740946132992 = 212 · 314 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48193,4034545] |
[a1,a2,a3,a4,a6] |
Generators |
[165:740:1] |
Generators of the group modulo torsion |
j |
3022210159912000/45835191927 |
j-invariant |
L |
4.2605110292959 |
L(r)(E,1)/r! |
Ω |
0.56899670068415 |
Real period |
R |
1.8719401290786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864x2 49728bp1 74592ba2 |
Quadratic twists by: -4 8 -3 |