Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762c |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34716855952847538 = 2 · 36 · 478 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192597,-31225285] |
[a1,a2,a3,a4,a6] |
Generators |
[1180289:-30194470:1331] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
4.9058137867543 |
L(r)(E,1)/r! |
Ω |
0.22851531422057 |
Real period |
R |
10.734102883841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4418a2 846b2 |
Quadratic twists by: -3 -47 |