Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680be |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
91929600000000 = 216 · 33 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307265,-65452863] |
[a1,a2,a3,a4,a6] |
Generators |
[1279:40400:1] |
Generators of the group modulo torsion |
j |
48953581980835396/1402734375 |
j-invariant |
L |
6.9263320660505 |
L(r)(E,1)/r! |
Ω |
0.20277850190341 |
Real period |
R |
4.2696414706347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gl4 15960n3 |
Quadratic twists by: -4 8 |