Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576b |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
113829988608 = 28 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6663,-208710] |
[a1,a2,a3,a4,a6] |
j |
4732922819952/16468459 |
j-invariant |
L |
3.1712042962188 |
L(r)(E,1)/r! |
Ω |
0.5285340493698 |
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 |
19152i1 76608b1 9576o1 67032d1 |
Quadratic twists by: -4 8 -3 -7 |