Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050v |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.6441372448198E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33830367,43942750541] |
[a1,a2,a3,a4,a6] |
Generators |
[-1250:290929:1] [1310:42609:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
6.8410957081354 |
L(r)(E,1)/r! |
Ω |
0.076793361747059 |
Real period |
R |
7.4237055917878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dz1 76050dn2 76050dy2 |
Quadratic twists by: -3 5 13 |