Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128cf |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1610256384 = 212 · 32 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-569,-5049] |
[a1,a2,a3,a4,a6] |
Generators |
[577:13860:1] |
Generators of the group modulo torsion |
j |
4982686912/393129 |
j-invariant |
L |
7.7408023819658 |
L(r)(E,1)/r! |
Ω |
0.98225664393806 |
Real period |
R |
3.9403156139155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128bg2 20064b1 120384da2 |
Quadratic twists by: -4 8 -3 |