Atkin-Lehner |
2+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24674d |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3198720 |
Modular degree for the optimal curve |
Δ |
-1.2517930093541E+21 |
Discriminant |
Eigenvalues |
2+ 3 1 1 0 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14931604,-22269327664] |
[a1,a2,a3,a4,a6] |
j |
-76275138549883285089/259341732675584 |
j-invariant |
L |
4.9143321164587 |
L(r)(E,1)/r! |
Ω |
0.038393219659832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898a1 |
Quadratic twists by: 13 |