Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bp |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-40212246528 = -1 · 212 · 37 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,11648] |
[a1,a2,a3,a4,a6] |
Generators |
[16:72:1] |
Generators of the group modulo torsion |
j |
-10648000/13467 |
j-invariant |
L |
5.7698416766264 |
L(r)(E,1)/r! |
Ω |
1.0371764605448 |
Real period |
R |
1.3907569965471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592cb2 19296r1 12864x2 |
Quadratic twists by: -4 8 -3 |