Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
606d |
Isogeny class |
Conductor |
606 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1428 |
Modular degree for the optimal curve |
Δ |
-1669524027264 = -1 · 27 · 317 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1314,-65361] |
[a1,a2,a3,a4,a6] |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
2.4694031751289 |
L(r)(E,1)/r! |
Ω |
0.35277188216127 |
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 |
4848p1 19392u1 1818f1 15150k1 |
Quadratic twists by: -4 8 -3 5 |