Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762c |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-1477313019270108 = -1 · 22 · 36 · 477 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6213,-1841167] |
[a1,a2,a3,a4,a6] |
Generators |
[832:23641:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
4.9058137867543 |
L(r)(E,1)/r! |
Ω |
0.22851531422057 |
Real period |
R |
5.3670514419205 |
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 |
4418a1 846b1 |
Quadratic twists by: -3 -47 |