Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7568f |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-484352 = -1 · 210 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 0 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
-62500/473 |
j-invariant |
L |
3.4490007787023 |
L(r)(E,1)/r! |
Ω |
1.2415667866648 |
Real period |
R |
1.3889711031846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3784a1 30272u1 68112f1 83248m1 |
Quadratic twists by: -4 8 -3 -11 |