Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818bf |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-38953989468 = -1 · 22 · 32 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-549,-10755] |
[a1,a2,a3,a4,a6] |
j |
-389017/828 |
j-invariant |
L |
0.92454322473691 |
L(r)(E,1)/r! |
Ω |
0.46227161264251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
138a1 |
Quadratic twists by: -19 |