Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4662l |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
112670320896 = 28 · 38 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12434,-530287] |
[a1,a2,a3,a4,a6] |
j |
291605712526297/154554624 |
j-invariant |
L |
3.6170404886115 |
L(r)(E,1)/r! |
Ω |
0.45213006107644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296cn2 1554c2 116550br2 32634cf2 |
Quadratic twists by: -4 -3 5 -7 |