Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fk |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1137731567616 = -1 · 217 · 311 · 72 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,46928] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
2.4659102351078 |
L(r)(E,1)/r! |
Ω |
0.61647755877693 |
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 |
28224bq1 7056t1 9408by1 28224ep1 |
Quadratic twists by: -4 8 -3 -7 |