Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480x |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20509371072000 = 29 · 314 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804243,277606042] |
[a1,a2,a3,a4,a6] |
Generators |
[263287058:21364997643:39304] |
Generators of the group modulo torsion |
j |
154130324060603528/54948375 |
j-invariant |
L |
6.9157335514516 |
L(r)(E,1)/r! |
Ω |
0.55198258041163 |
Real period |
R |
12.528898183124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480h4 32160i4 |
Quadratic twists by: -4 -3 |