Atkin-Lehner |
2- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472r |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19399487209603072 = -1 · 218 · 112 · 13 · 196 |
Discriminant |
Eigenvalues |
2- -2 2 -4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45848,-5519052] |
[a1,a2,a3,a4,a6] |
Generators |
[20780:324146:125] |
Generators of the group modulo torsion |
j |
2602049044042007/4736202932032 |
j-invariant |
L |
3.3626109081058 |
L(r)(E,1)/r! |
Ω |
0.20206147206927 |
Real period |
R |
8.3207621761767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434c2 |
Quadratic twists by: -4 |