Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224et |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6968605851648 = -1 · 214 · 311 · 74 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4704,-26656] |
[a1,a2,a3,a4,a6] |
Generators |
[49:567:1] |
Generators of the group modulo torsion |
j |
401408/243 |
j-invariant |
L |
4.2695165475529 |
L(r)(E,1)/r! |
Ω |
0.43387927160435 |
Real period |
R |
0.82002775637056 |
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 |
28224bc1 7056bl1 9408bq1 28224fr1 |
Quadratic twists by: -4 8 -3 -7 |