Atkin-Lehner |
2+ 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248c |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
146469233664 = 210 · 39 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24651,1489590] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:1296:1] [63:432:1] |
Generators of the group modulo torsion |
j |
82193237676/7267 |
j-invariant |
L |
7.9512124162481 |
L(r)(E,1)/r! |
Ω |
0.98487424574985 |
Real period |
R |
4.0366637926421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496h2 40248s2 |
Quadratic twists by: -4 -3 |