Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dt |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1320476774400 = 212 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3001,31801] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:304:1] |
Generators of the group modulo torsion |
j |
729972432064/322382025 |
j-invariant |
L |
5.4418421817085 |
L(r)(E,1)/r! |
Ω |
0.77183764426956 |
Real period |
R |
1.7626252653236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094892 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680fc2 63840y1 |
Quadratic twists by: -4 8 |