Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480dg |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1725026638233600 = 228 · 32 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-346145,-78475425] |
[a1,a2,a3,a4,a6] |
Generators |
[25665:4110600:1] |
Generators of the group modulo torsion |
j |
17496824387403529/6580454400 |
j-invariant |
L |
5.3100948547194 |
L(r)(E,1)/r! |
Ω |
0.19683156109059 |
Real period |
R |
6.7444657062333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480s2 3120o2 37440er2 62400ej2 |
Quadratic twists by: -4 8 -3 5 |