Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3120d |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-101088000 = -1 · 28 · 35 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-603] |
[a1,a2,a3,a4,a6] |
j |
-504871936/394875 |
j-invariant |
L |
2.162578387298 |
L(r)(E,1)/r! |
Ω |
0.72085946243267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1560f1 12480ct1 9360j1 15600t1 |
Quadratic twists by: -4 8 -3 5 |