Atkin-Lehner |
2- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354bb |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
759808 |
Modular degree for the optimal curve |
Δ |
-2324733917642752 = -1 · 214 · 73 · 112 · 434 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-552217,-158010567] |
[a1,a2,a3,a4,a6] |
j |
-54294890054391877591/6777649905664 |
j-invariant |
L |
2.4518668990561 |
L(r)(E,1)/r! |
Ω |
0.087566674984852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46354ba1 |
Quadratic twists by: -7 |