Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735b |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-5.6427950978639E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 -5 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3355319,-11182531644] |
[a1,a2,a3,a4,a6] |
Generators |
[13588:1594687:1] [48126:577799:27] |
Generators of the group modulo torsion |
j |
660867352100864/8926548046875 |
j-invariant |
L |
5.7769483936048 |
L(r)(E,1)/r! |
Ω |
0.054683414512495 |
Real period |
R |
6.6027199987272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83205q1 645e1 |
Quadratic twists by: -3 -43 |