Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216m |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-363112360068261888 = -1 · 211 · 37 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46658208,122686074540] |
[a1,a2,a3,a4,a6] |
j |
-46621870486238281250/1507033269 |
j-invariant |
L |
0.44414847166346 |
L(r)(E,1)/r! |
Ω |
0.22207423565466 |
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 |
96432o1 6888b1 |
Quadratic twists by: -4 -7 |