Atkin-Lehner |
2- 3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812g |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
151809848762787072 = 28 · 36 · 117 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 5 11+ 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145656,10314756] |
[a1,a2,a3,a4,a6] |
j |
1831223513161728/813452979053 |
j-invariant |
L |
1.7526297900429 |
L(r)(E,1)/r! |
Ω |
0.29210496010091 |
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 |
10868d1 |
Quadratic twists by: -3 |