Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094z |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
41822898708096 = 27 · 36 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51750,-4507596] |
[a1,a2,a3,a4,a6] |
j |
11867954041/32384 |
j-invariant |
L |
1.2663471889457 |
L(r)(E,1)/r! |
Ω |
0.31658679719765 |
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 |
5566e1 4554bi1 |
Quadratic twists by: -3 -11 |