Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
112113254400 = 215 · 3 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60865,-5799937] |
[a1,a2,a3,a4,a6] |
Generators |
[298:1617:1] |
Generators of the group modulo torsion |
j |
760998483955592/3421425 |
j-invariant |
L |
10.073298395042 |
L(r)(E,1)/r! |
Ω |
0.3039535154091 |
Real period |
R |
4.1426146863888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000007837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680eq4 63840bd4 |
Quadratic twists by: -4 8 |