Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084k |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1057748052293712 = 24 · 36 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45469,3372812] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2601:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
7.3278782766401 |
L(r)(E,1)/r! |
Ω |
0.47724444086037 |
Real period |
R |
0.85303109653557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652b1 |
Quadratic twists by: 17 |