Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050t |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-1431607415355000 = -1 · 23 · 33 · 54 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13467,-1913859] |
[a1,a2,a3,a4,a6] |
j |
-3316275/17576 |
j-invariant |
L |
0.79789202182931 |
L(r)(E,1)/r! |
Ω |
0.19947300509085 |
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 |
76050dx2 76050dl1 5850bi1 |
Quadratic twists by: -3 5 13 |