Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bi |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-2.0777326998306E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5130801,-5300853651] |
[a1,a2,a3,a4,a6] |
j |
11566328890520951/16088147361792 |
j-invariant |
L |
1.0317642885809 |
L(r)(E,1)/r! |
Ω |
0.064485268037384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698bn1 4554bj1 |
Quadratic twists by: -3 -11 |