Atkin-Lehner |
2- 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142m |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
935712 |
Modular degree for the optimal curve |
Δ |
49474545757728444 = 22 · 39 · 198 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 1 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-91882,-665605] |
[a1,a2,a3,a4,a6] |
j |
5051106433/2913084 |
j-invariant |
L |
0.59790101968515 |
L(r)(E,1)/r! |
Ω |
0.29895051412844 |
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 |
80142k1 |
Quadratic twists by: -19 |