Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572k |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-74233665305856 = -1 · 28 · 37 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44247,3606302] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:2646:1] |
Generators of the group modulo torsion |
j |
-8904784/69 |
j-invariant |
L |
6.9775265761036 |
L(r)(E,1)/r! |
Ω |
0.61654084461434 |
Real period |
R |
1.886202846374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524c1 40572p1 |
Quadratic twists by: -3 -7 |