Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896q |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-104696323780608 = -1 · 212 · 38 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -1 -3 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9011,-363013] |
[a1,a2,a3,a4,a6] |
Generators |
[38:189:1] [53:516:1] |
Generators of the group modulo torsion |
j |
19753066976768/25560625923 |
j-invariant |
L |
8.444310988342 |
L(r)(E,1)/r! |
Ω |
0.31832947112361 |
Real period |
R |
0.27632242935206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28896k1 57792by1 86688l1 |
Quadratic twists by: -4 8 -3 |