Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080bg |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2554433748992160000 = 28 · 318 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1533423,726815122] |
[a1,a2,a3,a4,a6] |
j |
2136693050614019536/13687595105625 |
j-invariant |
L |
2.0656496450642 |
L(r)(E,1)/r! |
Ω |
0.25820620744229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360o2 |
Quadratic twists by: -3 |