Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600bs |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
1441200250000 = 24 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2858,10163] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
2.2113893094962 |
L(r)(E,1)/r! |
Ω |
0.73712976983206 |
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 |
4900a1 78400ge1 784g1 19600cg1 |
Quadratic twists by: -4 8 5 -7 |