Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bp |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
11854080 = 28 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,98] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] |
Generators of the group modulo torsion |
j |
11664/5 |
j-invariant |
L |
5.1969656929068 |
L(r)(E,1)/r! |
Ω |
2.0391285482728 |
Real period |
R |
0.6371552319873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280k1 17640k1 88200s1 17640bw1 |
Quadratic twists by: -4 -3 5 -7 |