Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760n |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-13111924578480 = -1 · 24 · 37 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6618,-270727] |
[a1,a2,a3,a4,a6] |
j |
-2748251600896/1124136195 |
j-invariant |
L |
2.0755651965938 |
L(r)(E,1)/r! |
Ω |
0.25944564957335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520s1 10920n1 |
Quadratic twists by: -4 -3 |