Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270x |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
19058688 |
Modular degree for the optimal curve |
Δ |
-8.5547665576891E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31456206,-450156169980] |
[a1,a2,a3,a4,a6] |
j |
-3075827761007/76441190400 |
j-invariant |
L |
3.4657440024354 |
L(r)(E,1)/r! |
Ω |
0.026255636407325 |
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 |
66270y1 |
Quadratic twists by: -47 |