Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ep |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5753806371532800 = -1 · 212 · 33 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57225,-6390423] |
[a1,a2,a3,a4,a6] |
j |
-5059746485603776/1404737883675 |
j-invariant |
L |
2.4342892518801 |
L(r)(E,1)/r! |
Ω |
0.15214308360094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fz2 63840bv1 |
Quadratic twists by: -4 8 |