Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224ep |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-133852981198454784 = -1 · 217 · 311 · 78 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69972,-16096304] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3969:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
4.2449312196909 |
L(r)(E,1)/r! |
Ω |
0.16718168661155 |
Real period |
R |
1.0579635708829 |
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 |
28224z1 7056n1 9408ck1 28224fk1 |
Quadratic twists by: -4 8 -3 -7 |