Atkin-Lehner |
5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65065u |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5660928 |
Modular degree for the optimal curve |
Δ |
1.8911343407241E+21 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11+ 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20438188,-35504192787] |
[a1,a2,a3,a4,a6] |
j |
89034982946501437/178333203125 |
j-invariant |
L |
0.85216258502339 |
L(r)(E,1)/r! |
Ω |
0.071013549135104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65065f1 |
Quadratic twists by: 13 |