Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3120x |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
996802560 = 217 · 32 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13640,608628] |
[a1,a2,a3,a4,a6] |
j |
68523370149961/243360 |
j-invariant |
L |
2.7358656693 |
L(r)(E,1)/r! |
Ω |
1.36793283465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390f2 12480bv2 9360bj2 15600bj2 |
Quadratic twists by: -4 8 -3 5 |