Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7568c |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-630020864 = -1 · 28 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -1 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,199,611] |
[a1,a2,a3,a4,a6] |
j |
3387339776/2461019 |
j-invariant |
L |
2.0655622501118 |
L(r)(E,1)/r! |
Ω |
1.0327811250559 |
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 |
3784f1 30272bf1 68112u1 83248l1 |
Quadratic twists by: -4 8 -3 -11 |