Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bx |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
163500539904000 = 217 · 310 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17121,609921] |
[a1,a2,a3,a4,a6] |
Generators |
[13:624:1] |
Generators of the group modulo torsion |
j |
4234737878642/1247410125 |
j-invariant |
L |
3.5736274897832 |
L(r)(E,1)/r! |
Ω |
0.53338336669359 |
Real period |
R |
1.6749807516196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480bb2 3120i2 37440fv2 62400gj2 |
Quadratic twists by: -4 8 -3 5 |