Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240q |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1543241728000000 = -1 · 224 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26560,883712] |
[a1,a2,a3,a4,a6] |
Generators |
[229:4350:1] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
7.3059796458561 |
L(r)(E,1)/r! |
Ω |
0.30412691505124 |
Real period |
R |
2.0018998879205 |
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 |
2030b1 64960bc1 81200bp1 113680ba1 |
Quadratic twists by: -4 8 5 -7 |