Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fy |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26953571919052800 = 214 · 312 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164465,-24481425] |
[a1,a2,a3,a4,a6] |
Generators |
[835:-20520:1] |
Generators of the group modulo torsion |
j |
30028032801240784/1645115473575 |
j-invariant |
L |
9.5643713504821 |
L(r)(E,1)/r! |
Ω |
0.23788158195516 |
Real period |
R |
0.83763414117129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bi2 31920r2 |
Quadratic twists by: -4 8 |