Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9960c |
Isogeny class |
Conductor |
9960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-17643841200 = -1 · 24 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,449,5390] |
[a1,a2,a3,a4,a6] |
j |
624273852416/1102740075 |
j-invariant |
L |
2.5300406234073 |
L(r)(E,1)/r! |
Ω |
0.84334687446909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19920b1 79680k1 29880n1 49800w1 |
Quadratic twists by: -4 8 -3 5 |