Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cf |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
36960300000000 = 28 · 37 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70992,7292416] |
[a1,a2,a3,a4,a6] |
Generators |
[144:128:1] |
Generators of the group modulo torsion |
j |
822206905/768 |
j-invariant |
L |
5.558235477554 |
L(r)(E,1)/r! |
Ω |
0.64628678096929 |
Real period |
R |
0.7166884784208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350ce1 76050ed1 76050fn1 |
Quadratic twists by: -3 5 13 |