Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896m |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4817182068764352 = -1 · 26 · 35 · 72 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10626,3369348] |
[a1,a2,a3,a4,a6] |
Generators |
[-70990:1939301:1000] |
Generators of the group modulo torsion |
j |
-2073452272924096/75268469824443 |
j-invariant |
L |
6.6114542072016 |
L(r)(E,1)/r! |
Ω |
0.36075626177039 |
Real period |
R |
9.1633256409138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28896r1 57792di2 86688x1 |
Quadratic twists by: -4 8 -3 |