Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ci |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1038828142231584768 = 215 · 36 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309153,44518401] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:6696:1] |
Generators of the group modulo torsion |
j |
99723055697117000/31702518989001 |
j-invariant |
L |
4.3843646653875 |
L(r)(E,1)/r! |
Ω |
0.25586819115314 |
Real period |
R |
0.71396862671554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dx2 20832n2 124992et2 |
Quadratic twists by: -4 8 -3 |