Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bo |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1337394240 = 26 · 38 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142150,20675992] |
[a1,a2,a3,a4,a6] |
j |
4963492676237558464/20896785 |
j-invariant |
L |
2.0500140261397 |
L(r)(E,1)/r! |
Ω |
1.0250070130245 |
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 |
43680cb1 87360gj1 |
Quadratic twists by: -4 8 |