Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128y |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-3250368 = -1 · 26 · 35 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,87] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
512/50787 |
j-invariant |
L |
6.4454007459174 |
L(r)(E,1)/r! |
Ω |
1.9923751316764 |
Real period |
R |
0.64700674521019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128f1 20064o1 120384p1 |
Quadratic twists by: -4 8 -3 |