Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808s |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-991346688 = -1 · 214 · 36 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 -3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,-2160] |
[a1,a2,a3,a4,a6] |
j |
-148176/83 |
j-invariant |
L |
1.1679146090611 |
L(r)(E,1)/r! |
Ω |
0.58395730449367 |
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 |
47808cf1 5976e1 5312g1 |
Quadratic twists by: -4 8 -3 |