Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528v |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5089143603953664 = 215 · 39 · 534 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44076,951280] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:2120:1] |
Generators of the group modulo torsion |
j |
396417457736/213042987 |
j-invariant |
L |
3.2207673347959 |
L(r)(E,1)/r! |
Ω |
0.376879630095 |
Real period |
R |
1.0682347484474 |
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 |
30528u3 15264n2 10176f4 |
Quadratic twists by: -4 8 -3 |