Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bi |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-17706093405751296 = -1 · 211 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 3 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1063179,421995366] |
[a1,a2,a3,a4,a6] |
j |
-683064198/91 |
j-invariant |
L |
1.4984500400697 |
L(r)(E,1)/r! |
Ω |
0.37461250160896 |
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 |
85176d1 6552d1 |
Quadratic twists by: -3 13 |