Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ds |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2057916415564800 = -1 · 210 · 314 · 52 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22740,-1738280] |
[a1,a2,a3,a4,a6] |
j |
69683121920/110270727 |
j-invariant |
L |
0.4908327184231 |
L(r)(E,1)/r! |
Ω |
0.2454163981527 |
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 |
100800nk1 12600bu1 33600ci1 100800id1 |
Quadratic twists by: -4 8 -3 5 |