Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760i |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2359163439360000 = -1 · 211 · 310 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28083,2956718] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1134:1] |
Generators of the group modulo torsion |
j |
-1640577425762/1580158125 |
j-invariant |
L |
5.2009218070391 |
L(r)(E,1)/r! |
Ω |
0.41917030004182 |
Real period |
R |
3.1019145479297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520z3 10920m4 |
Quadratic twists by: -4 -3 |