Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424ct |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.7338965786155E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,758751,-580469823] |
[a1,a2,a3,a4,a6] |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
1.4712664966874 |
L(r)(E,1)/r! |
Ω |
0.091954156046563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424bv1 11856bh1 |
Quadratic twists by: -4 8 |