Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305i |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4414306640625 = 32 · 512 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5585,-125328] |
[a1,a2,a3,a4,a6] |
j |
19266290507575441/4414306640625 |
j-invariant |
L |
1.6840636215425 |
L(r)(E,1)/r! |
Ω |
0.56135454051417 |
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 |
68880bw1 12915d1 21525h1 30135c1 |
Quadratic twists by: -4 -3 5 -7 |