Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664b |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
546290956933005312 = 229 · 32 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6305633,6096541665] |
[a1,a2,a3,a4,a6] |
Generators |
[959:30504:1] |
Generators of the group modulo torsion |
j |
105771808529903265625/2083934619648 |
j-invariant |
L |
4.23021075493 |
L(r)(E,1)/r! |
Ω |
0.2690316517356 |
Real period |
R |
3.9309601004585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ef2 1302d2 124992z2 |
Quadratic twists by: -4 8 -3 |