Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576v |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-22692544 = -1 · 26 · 7 · 373 |
Discriminant |
Eigenvalues |
2- -2 3 7- 5 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832459,292065483] |
[a1,a2,a3,a4,a6] |
j |
-996856898790659465728/354571 |
j-invariant |
L |
2.6845053099039 |
L(r)(E,1)/r! |
Ω |
0.89483510330129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16576k1 8288f1 116032bp1 |
Quadratic twists by: -4 8 -7 |