Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7636d |
Isogeny class |
Conductor |
7636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-702512 = -1 · 24 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 1 4 1 -1 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,32] |
[a1,a2,a3,a4,a6] |
j |
44957696/43907 |
j-invariant |
L |
3.7607594148269 |
L(r)(E,1)/r! |
Ω |
1.8803797074135 |
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 |
30544v1 122176m1 68724k1 |
Quadratic twists by: -4 8 -3 |