Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576da |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-6994944 = -1 · 210 · 33 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,-177] |
[a1,a2,a3,a4,a6] |
j |
-7626496/6831 |
j-invariant |
L |
2.7229428044119 |
L(r)(E,1)/r! |
Ω |
0.90764760151613 |
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 |
48576o1 12144y1 |
Quadratic twists by: -4 8 |