Atkin-Lehner |
2- 3- 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090bi |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
4085760 |
Modular degree for the optimal curve |
Δ |
-1.4544148783104E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2723927,1825751279] |
[a1,a2,a3,a4,a6] |
Generators |
[1347:-25154:1] [-1533:49726:1] |
Generators of the group modulo torsion |
j |
-3066072555969473727529/199508213760000000 |
j-invariant |
L |
15.273525555399 |
L(r)(E,1)/r! |
Ω |
0.18049339752515 |
Real period |
R |
0.15110886686838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030d1 |
Quadratic twists by: -3 |