Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bs |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-265065212342697984 = -1 · 235 · 33 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 5 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-934241,348758529] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
0.62260266248733 |
L(r)(E,1)/r! |
Ω |
0.31130133124369 |
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 |
22848bg1 5712q1 68544dw1 |
Quadratic twists by: -4 8 -3 |