Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390da |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
Δ |
38042077566276000 = 25 · 310 · 53 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1036155,405767025] |
[a1,a2,a3,a4,a6] |
Generators |
[690:-4755:1] |
Generators of the group modulo torsion |
j |
1045706191321645729/323352324000 |
j-invariant |
L |
12.367931620027 |
L(r)(E,1)/r! |
Ω |
0.3569799344614 |
Real period |
R |
0.23097342317337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110i2 |
Quadratic twists by: -7 |