Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945o |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-10488578625 = -1 · 310 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -3 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293,-5218] |
[a1,a2,a3,a4,a6] |
Generators |
[60:406:1] |
Generators of the group modulo torsion |
j |
-77626969/293625 |
j-invariant |
L |
3.3597880818539 |
L(r)(E,1)/r! |
Ω |
0.52799794351948 |
Real period |
R |
3.181629893798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315v1 63945w1 |
Quadratic twists by: -3 -7 |