Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bi |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
8109204416208 = 24 · 34 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17087,843042] |
[a1,a2,a3,a4,a6] |
j |
733001728/10773 |
j-invariant |
L |
5.9157298759841 |
L(r)(E,1)/r! |
Ω |
0.73946623447277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296s1 3192a1 |
Quadratic twists by: -4 -19 |