Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094bq |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
-1.1842376815735E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11+ 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41216495,-114507863049] |
[a1,a2,a3,a4,a6] |
Generators |
[9287:546390:1] |
Generators of the group modulo torsion |
j |
-4504796521098875/688933306368 |
j-invariant |
L |
8.7598255570226 |
L(r)(E,1)/r! |
Ω |
0.029542994474462 |
Real period |
R |
3.5298939541909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698c1 50094h1 |
Quadratic twists by: -3 -11 |