Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bw |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
776654438400 = 214 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,-4606] |
[a1,a2,a3,a4,a6] |
j |
454756609/260100 |
j-invariant |
L |
2.9858750052404 |
L(r)(E,1)/r! |
Ω |
0.74646875131009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1530e2 48960ec2 4080t2 61200fg2 |
Quadratic twists by: -4 8 -3 5 |