Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bb |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
80 |
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 |
[-93:432:1] |
Generators of the group modulo torsion |
j |
4234737878642/1247410125 |
j-invariant |
L |
5.431894293962 |
L(r)(E,1)/r! |
Ω |
0.42681291498637 |
Real period |
R |
0.63633199737353 |
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 |
12480bx2 1560b2 37440cq2 62400m2 |
Quadratic twists by: -4 8 -3 5 |