Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572x |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-3.2961476041259E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65273880,2769688240004] |
[a1,a2,a3,a4,a6] |
Generators |
[1645:1633023:1] |
Generators of the group modulo torsion |
j |
-1400832679220224000/150124273180279587 |
j-invariant |
L |
4.9606177856416 |
L(r)(E,1)/r! |
Ω |
0.036716667747016 |
Real period |
R |
0.62548767333449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524e2 5796h2 |
Quadratic twists by: -3 -7 |