Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050gf |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-277202250 = -1 · 2 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,-763] |
[a1,a2,a3,a4,a6] |
j |
4459/18 |
j-invariant |
L |
3.5223889339456 |
L(r)(E,1)/r! |
Ω |
0.88059723835157 |
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 |
25350bv1 76050da1 76050db1 |
Quadratic twists by: -3 5 13 |