Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70642o |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.2860746938158E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,484266,190185107] |
[a1,a2,a3,a4,a6] |
Generators |
[-5559:246971:27] |
Generators of the group modulo torsion |
j |
2602049044042007/4736202932032 |
j-invariant |
L |
10.346452317335 |
L(r)(E,1)/r! |
Ω |
0.14702180542281 |
Real period |
R |
5.8644658680381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434c2 |
Quadratic twists by: 13 |