Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584v |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-140258304 = -1 · 210 · 34 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 4 1 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:24:1] |
Generators of the group modulo torsion |
j |
1431644/136971 |
j-invariant |
L |
8.0679516541627 |
L(r)(E,1)/r! |
Ω |
1.4094462482834 |
Real period |
R |
0.71552495031171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168k1 121752k1 |
Quadratic twists by: -4 -3 |