Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cg |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
856019653632 = 210 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3069,-49005] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:87:1] [-33:132:1] |
Generators of the group modulo torsion |
j |
3122884507648/835956693 |
j-invariant |
L |
7.9604612188861 |
L(r)(E,1)/r! |
Ω |
0.65423689589323 |
Real period |
R |
1.0139626370885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456d1 6864d1 82368dp1 |
Quadratic twists by: -4 8 -3 |