Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208cm |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2263920648192 = 213 · 34 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242664,-46091340] |
[a1,a2,a3,a4,a6] |
j |
3279392280793/4698 |
j-invariant |
L |
1.7208304894834 |
L(r)(E,1)/r! |
Ω |
0.21510381098968 |
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 |
8526d4 1392h4 |
Quadratic twists by: -4 -7 |