Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216j |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
179520 |
Modular degree for the optimal curve |
Δ |
-432158773948416 = -1 · 212 · 317 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -2 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30405,2282733] |
[a1,a2,a3,a4,a6] |
j |
-758949835165696/105507513171 |
j-invariant |
L |
0.51255000020868 |
L(r)(E,1)/r! |
Ω |
0.5125500001335 |
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 |
2451i1 117648y1 |
Quadratic twists by: -4 -3 |