Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192g |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-9460795693367296 = -1 · 215 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 0 1 -4 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48013,2345778] |
[a1,a2,a3,a4,a6] |
j |
175959/136 |
j-invariant |
L |
1.0508748051721 |
L(r)(E,1)/r! |
Ω |
0.26271867123191 |
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 |
12274a1 98192j1 |
Quadratic twists by: -4 -19 |