Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
4800bw |
Isogeny class |
Conductor |
4800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-120000 = -1 · 26 · 3 · 54 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,87] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
3.5841852034837 |
L(r)(E,1)/r! |
Ω |
3.3018582715917 |
Real period |
R |
0.36183515550633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4800bf1 1200r1 14400fa1 4800cg2 |
Quadratic twists by: -4 8 -3 5 |