Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ez |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-3.387936375E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,275172,-274477048] |
[a1,a2,a3,a4,a6] |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
0.40511484850467 |
L(r)(E,1)/r! |
Ω |
0.10127871224549 |
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 |
48960ch1 12240x1 16320cd1 |
Quadratic twists by: -4 8 -3 |