Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756n |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
202852944 = 24 · 33 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] [-5:21:1] |
Generators of the group modulo torsion |
j |
67108864/36963 |
j-invariant |
L |
7.7331302598783 |
L(r)(E,1)/r! |
Ω |
1.4610685780299 |
Real period |
R |
0.58808786148887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024cb1 65268i1 21756e1 |
Quadratic twists by: -4 -3 -7 |