Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244y |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-3736649482059312 = -1 · 24 · 313 · 74 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29748,-3542555] |
[a1,a2,a3,a4,a6] |
j |
-249602838347776/320357465883 |
j-invariant |
L |
5.5496114234417 |
L(r)(E,1)/r! |
Ω |
0.17342535709564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748n1 |
Quadratic twists by: -3 |