Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bk |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-32487505920 = -1 · 219 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,173232] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
2.3338080950278 |
L(r)(E,1)/r! |
Ω |
1.1669040474369 |
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 |
48960eg1 1530n1 5440p1 |
Quadratic twists by: -4 8 -3 |