Atkin-Lehner |
3- 7- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36519h |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-12513490983 = -1 · 34 · 74 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-525,7056] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:105:1] [9:-60:1] |
Generators of the group modulo torsion |
j |
-16004913195601/12513490983 |
j-invariant |
L |
5.4012171105135 |
L(r)(E,1)/r! |
Ω |
1.1615072472825 |
Real period |
R |
0.58127242890124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557o1 |
Quadratic twists by: -3 |