Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cp |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5398069248 = -1 · 222 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,3519] |
[a1,a2,a3,a4,a6] |
Generators |
[10:63:1] |
Generators of the group modulo torsion |
j |
-117649/20592 |
j-invariant |
L |
5.9856339663444 |
L(r)(E,1)/r! |
Ω |
1.1088319603693 |
Real period |
R |
2.6990717170304 |
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 |
27456l1 6864l1 82368ek1 |
Quadratic twists by: -4 8 -3 |