Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680es |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.6875183285642E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-975790305,-79741470030975] |
[a1,a2,a3,a4,a6] |
j |
-391970413583429733188386489/10252068819290850263040000 |
j-invariant |
L |
4.3468679054652 |
L(r)(E,1)/r! |
Ω |
0.011088949959706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cy2 31920bt2 |
Quadratic twists by: -4 8 |