Atkin-Lehner |
3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
45135j |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
289920 |
Modular degree for the optimal curve |
Δ |
1981059778125 = 37 · 55 · 173 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 -2 -3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192603,-32534321] |
[a1,a2,a3,a4,a6] |
Generators |
[-253190:6079:1000] |
Generators of the group modulo torsion |
j |
1083890291149213696/2717503125 |
j-invariant |
L |
12.064930695683 |
L(r)(E,1)/r! |
Ω |
0.22789450739505 |
Real period |
R |
4.4117381449864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15045c1 |
Quadratic twists by: -3 |