Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270r |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4451328 |
Modular degree for the optimal curve |
Δ |
-9.362978895991E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17718435,28703282625] |
[a1,a2,a3,a4,a6] |
j |
-57070627168555729/8686141440 |
j-invariant |
L |
3.3092632457136 |
L(r)(E,1)/r! |
Ω |
0.18384795811717 |
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 |
1410g1 |
Quadratic twists by: -47 |