Atkin-Lehner |
2- 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890z |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17787150 = 2 · 32 · 52 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4515,-118653] |
[a1,a2,a3,a4,a6] |
Generators |
[120264:1702087:512] |
Generators of the group modulo torsion |
j |
10178950159773361/17787150 |
j-invariant |
L |
8.4846808782839 |
L(r)(E,1)/r! |
Ω |
0.58241782821621 |
Real period |
R |
7.2840154157632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670t2 |
Quadratic twists by: -3 |