Atkin-Lehner |
2- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9916b |
Isogeny class |
Conductor |
9916 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-74336721904 = -1 · 24 · 375 · 67 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233,13189] |
[a1,a2,a3,a4,a6] |
Generators |
[4:111:1] |
Generators of the group modulo torsion |
j |
-87432217344/4646045119 |
j-invariant |
L |
3.2822282534284 |
L(r)(E,1)/r! |
Ω |
0.90323839895488 |
Real period |
R |
0.72676898086401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39664h1 89244e1 |
Quadratic twists by: -4 -3 |