Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728et |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
150377472 = 210 · 34 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2429,-46893] |
[a1,a2,a3,a4,a6] |
j |
1548406847488/146853 |
j-invariant |
L |
2.7201336320772 |
L(r)(E,1)/r! |
Ω |
0.68003340807089 |
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 |
49728f1 12432f1 |
Quadratic twists by: -4 8 |