Atkin-Lehner |
2+ 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818i |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-943959833424 = -1 · 24 · 39 · 194 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2158,-26188] |
[a1,a2,a3,a4,a6] |
j |
8534004983/7243344 |
j-invariant |
L |
2.9221021313622 |
L(r)(E,1)/r! |
Ω |
0.48701702183054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49818ba1 |
Quadratic twists by: -19 |