Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dp |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4620537899148902400 = 225 · 39 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1084428,-422176752] |
[a1,a2,a3,a4,a6] |
Generators |
[-18348:26128:27] |
Generators of the group modulo torsion |
j |
27333463470867/895491200 |
j-invariant |
L |
6.4980782325386 |
L(r)(E,1)/r! |
Ω |
0.14824202718106 |
Real period |
R |
5.479281378426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240e2 16560be2 66240dw2 |
Quadratic twists by: -4 8 -3 |