Atkin-Lehner |
2- 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478t |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
3144768786432 = 212 · 33 · 7 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9568,349184] |
[a1,a2,a3,a4,a6] |
j |
96870167113434625/3144768786432 |
j-invariant |
L |
4.7623158853221 |
L(r)(E,1)/r! |
Ω |
0.79371931422033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
70434k1 |
Quadratic twists by: -3 |