Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305i |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5108165015625 = 34 · 56 · 74 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83710,-9328453] |
[a1,a2,a3,a4,a6] |
j |
64871816981818825441/5108165015625 |
j-invariant |
L |
1.6840636215425 |
L(r)(E,1)/r! |
Ω |
0.28067727025709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880bw2 12915d2 21525h2 30135c2 |
Quadratic twists by: -4 -3 5 -7 |