Atkin-Lehner |
2- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79772a |
Isogeny class |
Conductor |
79772 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
8427433168 = 24 · 76 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-784,-7203] |
[a1,a2,a3,a4,a6] |
j |
28311552/4477 |
j-invariant |
L |
1.8237255202855 |
L(r)(E,1)/r! |
Ω |
0.911862767036 |
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 |
1628a1 |
Quadratic twists by: -7 |