Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820q |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-5.5947222508117E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9960881,16607633700] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:137214:1] |
Generators of the group modulo torsion |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
7.9320725896828 |
L(r)(E,1)/r! |
Ω |
0.10397315587162 |
Real period |
R |
0.68115732469628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4620h1 |
Quadratic twists by: -11 |