Atkin-Lehner |
3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005h |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.6012765187065E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108025,301110792] |
[a1,a2,a3,a4,a6] |
Generators |
[-1438:19731:1] |
Generators of the group modulo torsion |
j |
214630225740574489/116045124609375 |
j-invariant |
L |
4.7086129614861 |
L(r)(E,1)/r! |
Ω |
0.14304441866707 |
Real period |
R |
2.0573211320697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385c3 |
Quadratic twists by: 13 |