Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572v |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-16696262307312 = -1 · 24 · 36 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8085,-341971] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1127:1] |
Generators of the group modulo torsion |
j |
-42592000/12167 |
j-invariant |
L |
5.5057214900033 |
L(r)(E,1)/r! |
Ω |
0.24806954729958 |
Real period |
R |
1.233014771224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508b2 828d2 |
Quadratic twists by: -3 -7 |