Atkin-Lehner |
3- 5- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705h |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.0919267542627E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-310743,-172424717] |
[a1,a2,a3,a4,a6] |
Generators |
[839:12135:1] |
Generators of the group modulo torsion |
j |
-3318377314503808719721/10919267542626643125 |
j-invariant |
L |
8.3957303361952 |
L(r)(E,1)/r! |
Ω |
0.093081335803296 |
Real period |
R |
2.5054940343123 |
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 |
56115j2 93525e2 |
Quadratic twists by: -3 5 |