Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fz |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[21:2280:1] |
Generators of the group modulo torsion |
j |
-5059746485603776/1404737883675 |
j-invariant |
L |
8.999221811921 |
L(r)(E,1)/r! |
Ω |
0.4051865567219 |
Real period |
R |
1.8508391558428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ep2 63840bb1 |
Quadratic twists by: -4 8 |