Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448j |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-117504 = -1 · 28 · 33 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-456,-3748] |
[a1,a2,a3,a4,a6] |
j |
-1517101056/17 |
j-invariant |
L |
2.0662746503865 |
L(r)(E,1)/r! |
Ω |
0.51656866259661 |
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 |
612a1 9792be1 2448l2 61200do1 |
Quadratic twists by: -4 8 -3 5 |