Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864k |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
68992 |
Modular degree for the optimal curve |
Δ |
-34119821320704 = -1 · 29 · 37 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5384,-321336] |
[a1,a2,a3,a4,a6] |
j |
-33717049708616/66640276017 |
j-invariant |
L |
3.6674253355002 |
L(r)(E,1)/r! |
Ω |
0.26195895253573 |
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 |
24864s1 49728l1 74592bi1 |
Quadratic twists by: -4 8 -3 |