Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bw |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-200057723486208 = -1 · 216 · 33 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11873,839295] |
[a1,a2,a3,a4,a6] |
Generators |
[61:588:1] |
Generators of the group modulo torsion |
j |
-2824631270500/3052638603 |
j-invariant |
L |
7.7580031577505 |
L(r)(E,1)/r! |
Ω |
0.51290038924846 |
Real period |
R |
0.84031945474278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ch2 5208k2 124992cl2 |
Quadratic twists by: -4 8 -3 |