Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090p |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-1370250 = -1 · 2 · 33 · 53 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,56] |
[a1,a2,a3,a4,a6] |
j |
-47045881/1370250 |
j-invariant |
L |
2.2605705177665 |
L(r)(E,1)/r! |
Ω |
2.2605705177665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48720bm1 18270br1 30450bu1 42630d1 |
Quadratic twists by: -4 -3 5 -7 |