Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15048j |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32607691776 = 210 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,2430] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:80:1] |
Generators of the group modulo torsion |
j |
81385668/43681 |
j-invariant |
L |
4.965223893191 |
L(r)(E,1)/r! |
Ω |
1.0211875337973 |
Real period |
R |
2.4311028723234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30096c2 120384u2 1672c2 |
Quadratic twists by: -4 8 -3 |