Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572y |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-2062433923192597248 = -1 · 28 · 311 · 711 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 6 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111720,70574308] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:7938:1] |
Generators of the group modulo torsion |
j |
-7023616000/93934323 |
j-invariant |
L |
6.8471614219767 |
L(r)(E,1)/r! |
Ω |
0.22161158320595 |
Real period |
R |
1.2873803275763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524g1 5796f1 |
Quadratic twists by: -3 -7 |