Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576l |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110320175314944 = -1 · 211 · 310 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7059,554510] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:790:1] |
Generators of the group modulo torsion |
j |
-26055281954/73892007 |
j-invariant |
L |
5.1036633638349 |
L(r)(E,1)/r! |
Ω |
0.52283521108964 |
Real period |
R |
4.880757125365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152q4 76608cn3 3192n4 67032bg3 |
Quadratic twists by: -4 8 -3 -7 |