Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090g |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-2876099788800 = -1 · 219 · 36 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,81661] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/3945267200 |
j-invariant |
L |
1.2931255135385 |
L(r)(E,1)/r! |
Ω |
0.64656275676939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010h1 |
Quadratic twists by: -3 |