Atkin-Lehner |
2+ 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150bp |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1070423424000 = -1 · 210 · 34 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23516,-1390822] |
[a1,a2,a3,a4,a6] |
j |
-11504758470864749/8563387392 |
j-invariant |
L |
3.0841216829523 |
L(r)(E,1)/r! |
Ω |
0.19275760517948 |
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 |
45150cn1 |
Quadratic twists by: 5 |