Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100d |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-54965612800 = -1 · 28 · 52 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-11368] |
[a1,a2,a3,a4,a6] |
j |
-506530000/8588377 |
j-invariant |
L |
3.8445939672516 |
L(r)(E,1)/r! |
Ω |
0.48057424592365 |
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 |
51100w1 |
Quadratic twists by: 5 |