Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22785o |
Isogeny class |
Conductor |
22785 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-9.4822979892382E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-695801,-519098910] |
[a1,a2,a3,a4,a6] |
Generators |
[14890:1806520:1] |
Generators of the group modulo torsion |
j |
-316658140233724801/805982030381745 |
j-invariant |
L |
4.1143759120773 |
L(r)(E,1)/r! |
Ω |
0.076929008748377 |
Real period |
R |
8.9137937669581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68355x3 113925p3 3255d4 |
Quadratic twists by: -3 5 -7 |