Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576w |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2042966209536 = -1 · 210 · 37 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2949,-30490] |
[a1,a2,a3,a4,a6] |
Generators |
[19:180:1] [35:340:1] |
Generators of the group modulo torsion |
j |
3799448348/2736741 |
j-invariant |
L |
5.2129586346694 |
L(r)(E,1)/r! |
Ω |
0.46523730339521 |
Real period |
R |
5.6024727559732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19152v4 76608bc3 3192a4 67032ce3 |
Quadratic twists by: -4 8 -3 -7 |