Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678b |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7432614 = -1 · 2 · 33 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-133] |
[a1,a2,a3,a4,a6] |
j |
2803221/275282 |
j-invariant |
L |
2.2304734453772 |
L(r)(E,1)/r! |
Ω |
1.1152367226886 |
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 |
53424t2 6678i2 46746d2 |
Quadratic twists by: -4 -3 -7 |