Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224eb |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-43352064 = -1 · 215 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -5 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
6.7318285964043 |
L(r)(E,1)/r! |
Ω |
1.1553195988187 |
Real period |
R |
0.72835133707669 |
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 |
28224ea1 14112bl1 28224ed1 28224df1 |
Quadratic twists by: -4 8 -3 -7 |