Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ee |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-31603654656 = -1 · 215 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,-3024] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-216:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
3.5380333460791 |
L(r)(E,1)/r! |
Ω |
0.66702408137805 |
Real period |
R |
0.66302578963298 |
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 |
28224ed1 14112g1 28224ea1 28224dc1 |
Quadratic twists by: -4 8 -3 -7 |