Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bg |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-75749278187520000 = -1 · 218 · 36 · 54 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25853,13344581] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-3608:1] |
Generators of the group modulo torsion |
j |
-2621279152968841/103908474880000 |
j-invariant |
L |
7.3594707391073 |
L(r)(E,1)/r! |
Ω |
0.28636806203872 |
Real period |
R |
0.71387060867612 |
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 |
3010b1 |
Quadratic twists by: -3 |