Atkin-Lehner |
3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28305i |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-365034459515625 = -1 · 310 · 56 · 172 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- -4 6 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10854,1019785] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-793:1] |
Generators of the group modulo torsion |
j |
-193993930486369/500733140625 |
j-invariant |
L |
6.4624935718268 |
L(r)(E,1)/r! |
Ω |
0.47453842201918 |
Real period |
R |
1.1348736076924 |
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 |
9435c2 |
Quadratic twists by: -3 |