Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cl |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-380731439612160000 = -1 · 211 · 34 · 54 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152896,37510304] |
[a1,a2,a3,a4,a6] |
j |
-1640577425762/1580158125 |
j-invariant |
L |
2.1952910139872 |
L(r)(E,1)/r! |
Ω |
0.27441137557414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920m4 |
Quadratic twists by: -7 |