Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552x |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-291312 = -1 · 24 · 32 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,73] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-544000/63 |
j-invariant |
L |
6.1008632583806 |
L(r)(E,1)/r! |
Ω |
2.9920126518682 |
Real period |
R |
0.50976248835101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104n1 48552bd1 |
Quadratic twists by: -4 17 |