Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752v |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53061795072 = 28 · 32 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8268,286416] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:726:1] |
Generators of the group modulo torsion |
j |
137842000/117 |
j-invariant |
L |
7.2039034067913 |
L(r)(E,1)/r! |
Ω |
1.1139292632592 |
Real period |
R |
1.6167775738545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504d2 113256t2 312a2 |
Quadratic twists by: -4 -3 -11 |