Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048x |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
1378544832 = 26 · 38 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4404,-113958] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:11907:8] |
Generators of the group modulo torsion |
j |
147633283494208/21539763 |
j-invariant |
L |
8.0161131724241 |
L(r)(E,1)/r! |
Ω |
0.58604816681182 |
Real period |
R |
3.4195624311271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048e1 45024b4 |
Quadratic twists by: -4 8 |