Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680et |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15321600000000 = 215 · 32 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51905,4565025] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:3000:1] |
Generators of the group modulo torsion |
j |
471964931512712/467578125 |
j-invariant |
L |
5.8883700112472 |
L(r)(E,1)/r! |
Ω |
0.69595272862475 |
Real period |
R |
0.52880478369407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998255883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fu4 63840bs4 |
Quadratic twists by: -4 8 |