Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270a |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-17508895043201280 = -1 · 28 · 33 · 5 · 477 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 2 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16522,-6306732] |
[a1,a2,a3,a4,a6] |
j |
46268279/1624320 |
j-invariant |
L |
1.4979238579748 |
L(r)(E,1)/r! |
Ω |
0.18724048300075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410d1 |
Quadratic twists by: -47 |