Atkin-Lehner |
2- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
48884d |
Isogeny class |
Conductor |
48884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
45805481216 = 28 · 116 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8389,-298377] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:9:1] [106:121:1] |
Generators of the group modulo torsion |
j |
143982592/101 |
j-invariant |
L |
7.7117228583736 |
L(r)(E,1)/r! |
Ω |
0.49886838137976 |
Real period |
R |
7.7292159076563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
404b1 |
Quadratic twists by: -11 |