Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ft |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-187388721000000000 = -1 · 29 · 38 · 59 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-590180,-175602553] |
[a1,a2,a3,a4,a6] |
j |
-559043381/4608 |
j-invariant |
L |
3.0989339713495 |
L(r)(E,1)/r! |
Ω |
0.086081499212001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350bo1 76050cj1 76050ck1 |
Quadratic twists by: -3 5 13 |