Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664by |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
342956097404928 = 218 · 34 · 75 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5736417,-5290128513] |
[a1,a2,a3,a4,a6] |
Generators |
[3267:104160:1] |
Generators of the group modulo torsion |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
8.8481443927842 |
L(r)(E,1)/r! |
Ω |
0.097552717124619 |
Real period |
R |
2.26752894578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ck2 651a2 124992ct2 |
Quadratic twists by: -4 8 -3 |