Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048y |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-1099391533056 = -1 · 215 · 37 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260816259,1621250434946] |
[a1,a2,a3,a4,a6] |
Generators |
[74594:207:8] |
Generators of the group modulo torsion |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
3.6594668288237 |
L(r)(E,1)/r! |
Ω |
0.2512766100494 |
Real period |
R |
0.91021872860465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12006j1 32016w1 |
Quadratic twists by: -4 -3 |