Atkin-Lehner |
2- 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142l |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1349760 |
Modular degree for the optimal curve |
Δ |
294211799200794366 = 2 · 32 · 199 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 1 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167331,-3683565] |
[a1,a2,a3,a4,a6] |
j |
1605723211/911754 |
j-invariant |
L |
4.0784673466416 |
L(r)(E,1)/r! |
Ω |
0.25490420679276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142h1 |
Quadratic twists by: -19 |