Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666s |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-6812347696 = -1 · 24 · 77 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,6208] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
-148035889/57904 |
j-invariant |
L |
7.2183671761893 |
L(r)(E,1)/r! |
Ω |
1.2500036887058 |
Real period |
R |
0.72183458750975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238e1 |
Quadratic twists by: -7 |