Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960dk |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-918000000000 = -1 · 210 · 33 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,252,46072] |
[a1,a2,a3,a4,a6] |
j |
64012032/33203125 |
j-invariant |
L |
1.376781466602 |
L(r)(E,1)/r! |
Ω |
0.68839073318047 |
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 |
48960c1 12240bh1 48960dw2 |
Quadratic twists by: -4 8 -3 |