Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bo |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-1239665228256420000 = -1 · 25 · 36 · 54 · 711 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-569102,-173570371] |
[a1,a2,a3,a4,a6] |
Generators |
[877:691:1] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
8.9106839462958 |
L(r)(E,1)/r! |
Ω |
0.086605423917128 |
Real period |
R |
5.1444144854151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010a1 |
Quadratic twists by: -3 |