Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720bz |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-572816240640 = -1 · 212 · 39 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,-37005] |
[a1,a2,a3,a4,a6] |
Generators |
[46:189:1] |
Generators of the group modulo torsion |
j |
-5304438784/139847715 |
j-invariant |
L |
7.7665650012267 |
L(r)(E,1)/r! |
Ω |
0.39893429929214 |
Real period |
R |
1.0815711613788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045b1 |
Quadratic twists by: -4 |