Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bt |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-13866909696 = -1 · 214 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 -3 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,5679] |
[a1,a2,a3,a4,a6] |
Generators |
[75:648:1] [-15:72:1] |
Generators of the group modulo torsion |
j |
-37642192/846369 |
j-invariant |
L |
5.2196524933993 |
L(r)(E,1)/r! |
Ω |
1.052816390521 |
Real period |
R |
0.13771665063758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256i1 2064g1 24768cr1 |
Quadratic twists by: -4 8 -3 |