Atkin-Lehner |
3- 7- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557q |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-451039434904470699 = -1 · 36 · 76 · 373 · 473 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-700986,-228197106] |
[a1,a2,a3,a4,a6] |
Generators |
[29726156337630:3918722993649027:1706489875] |
Generators of the group modulo torsion |
j |
-52254562618054770688/618709787248931 |
j-invariant |
L |
8.110067707627 |
L(r)(E,1)/r! |
Ω |
0.082439619562929 |
Real period |
R |
16.395975120183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12173e2 |
Quadratic twists by: -3 |