Atkin-Lehner |
2- 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650dd |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2464776562500 = -1 · 22 · 32 · 58 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13388,599892] |
[a1,a2,a3,a4,a6] |
j |
-679380091105/6309828 |
j-invariant |
L |
6.5480490362663 |
L(r)(E,1)/r! |
Ω |
0.81850613301789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650j1 |
Quadratic twists by: 5 |