Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760bb |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-176295308716800 = -1 · 28 · 39 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7047,678186] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:910:1] |
Generators of the group modulo torsion |
j |
-7680778992/34987225 |
j-invariant |
L |
6.5082862997322 |
L(r)(E,1)/r! |
Ω |
0.49615013802486 |
Real period |
R |
0.40992419688983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520h2 32760e2 |
Quadratic twists by: -4 -3 |