Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4290k |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-375289200 = -1 · 24 · 38 · 52 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34,932] |
[a1,a2,a3,a4,a6] |
Generators |
[1:29:1] |
Generators of the group modulo torsion |
j |
-4165509529/375289200 |
j-invariant |
L |
3.0967722900472 |
L(r)(E,1)/r! |
Ω |
1.3942551562714 |
Real period |
R |
0.27763679733563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320z1 12870bx1 21450bx1 47190cm1 |
Quadratic twists by: -4 -3 5 -11 |