Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1290k |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-5200091136000 = -1 · 214 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10256,-418831] |
[a1,a2,a3,a4,a6] |
j |
-119305480789133569/5200091136000 |
j-invariant |
L |
1.656216906 |
L(r)(E,1)/r! |
Ω |
0.23660241514285 |
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 |
10320bd1 41280bv1 3870i1 6450n1 |
Quadratic twists by: -4 8 -3 5 |