Atkin-Lehner |
2+ 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776h |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-6198918836649984 = -1 · 222 · 315 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 6 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20831,-3613919] |
[a1,a2,a3,a4,a6] |
j |
3813232609367/23646998736 |
j-invariant |
L |
3.8164191089372 |
L(r)(E,1)/r! |
Ω |
0.21202328382984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776bd1 618d1 59328v1 |
Quadratic twists by: -4 8 -3 |