Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336cb |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6587088320592 = 24 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8112,252655] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3042:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
3.3356563155863 |
L(r)(E,1)/r! |
Ω |
0.72670005285299 |
Real period |
R |
1.1475354592623 |
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 |
6084n1 97344gc1 8112bi1 1872t1 |
Quadratic twists by: -4 8 -3 13 |