Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552y |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-7782699930937344 = -1 · 211 · 33 · 73 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-4244436] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:2023:8] |
Generators of the group modulo torsion |
j |
-2/157437 |
j-invariant |
L |
5.0075317191203 |
L(r)(E,1)/r! |
Ω |
0.19079378240678 |
Real period |
R |
2.1871483685724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104q1 2856g1 |
Quadratic twists by: -4 17 |