Atkin-Lehner |
2- 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bq |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28011550896 = 24 · 37 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39209,2998073] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-14:1] |
Generators of the group modulo torsion |
j |
9144144866605897/38424624 |
j-invariant |
L |
11.267881450296 |
L(r)(E,1)/r! |
Ω |
1.0414877500744 |
Real period |
R |
1.3523780583282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134w2 |
Quadratic twists by: -3 |