Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090n |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-6.530359762584E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,139995,-388312299] |
[a1,a2,a3,a4,a6] |
Generators |
[3495183:39637896:4913] |
Generators of the group modulo torsion |
j |
416228691255315119/89579694960000000 |
j-invariant |
L |
3.962003193008 |
L(r)(E,1)/r! |
Ω |
0.092321745979263 |
Real period |
R |
10.728791876125 |
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 |
9030bb1 |
Quadratic twists by: -3 |