Atkin-Lehner |
2- 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4674h |
Isogeny class |
Conductor |
4674 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-38086627188370338 = -1 · 2 · 322 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 4 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52190,-10455354] |
[a1,a2,a3,a4,a6] |
j |
-15721215569103886561/38086627188370338 |
j-invariant |
L |
3.2404642828662 |
L(r)(E,1)/r! |
Ω |
0.14729383103937 |
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 |
37392h2 14022g2 116850j2 88806h2 |
Quadratic twists by: -4 -3 5 -19 |