Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896r |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
120 |
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] |
j |
-2073452272924096/75268469824443 |
j-invariant |
L |
5.6685692614791 |
L(r)(E,1)/r! |
Ω |
0.18895230871596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28896m1 57792ce2 86688n1 |
Quadratic twists by: -4 8 -3 |