Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680x |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12283514880 = -1 · 212 · 3 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,335,4895] |
[a1,a2,a3,a4,a6] |
j |
1012048064/2998905 |
j-invariant |
L |
3.5693896563986 |
L(r)(E,1)/r! |
Ω |
0.89234741405261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680f2 87360eu1 |
Quadratic twists by: -4 8 |