Atkin-Lehner |
2+ 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760a |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
118834560000 = 210 · 33 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7296,-236880] |
[a1,a2,a3,a4,a6] |
Generators |
[3674:77175:8] |
Generators of the group modulo torsion |
j |
41950559273476/116049375 |
j-invariant |
L |
6.2078004666926 |
L(r)(E,1)/r! |
Ω |
0.51664900685679 |
Real period |
R |
6.0077541858634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880s2 |
Quadratic twists by: -4 |