Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420be |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
11077592400 = 24 · 310 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-16711] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:25:1] [-20:27:1] |
Generators of the group modulo torsion |
j |
19513606144/949725 |
j-invariant |
L |
11.336111798348 |
L(r)(E,1)/r! |
Ω |
0.80183865227052 |
Real period |
R |
2.3562744961687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140e1 |
Quadratic twists by: -3 |