Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762o |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
833204542868340912 = 24 · 37 · 478 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5070069,4395137989] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:464:1] |
Generators of the group modulo torsion |
j |
1834216913521/106032 |
j-invariant |
L |
1.9097529569931 |
L(r)(E,1)/r! |
Ω |
0.26687119012119 |
Real period |
R |
1.7890212841325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254j2 846a2 |
Quadratic twists by: -3 -47 |