Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bm |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-45914176 = -1 · 26 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-354] |
[a1,a2,a3,a4,a6] |
Generators |
[29:154:1] |
Generators of the group modulo torsion |
j |
-7744/49 |
j-invariant |
L |
4.8780629563818 |
L(r)(E,1)/r! |
Ω |
0.845020845853 |
Real period |
R |
0.96211885982516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208n1 27104w1 54208q1 |
Quadratic twists by: -4 8 -11 |