Atkin-Lehner |
2- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15184d |
Isogeny class |
Conductor |
15184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-1062263737039192064 = -1 · 229 · 135 · 732 |
Discriminant |
Eigenvalues |
2- -3 -1 1 0 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1413643,648828346] |
[a1,a2,a3,a4,a6] |
j |
-76275138549883285089/259341732675584 |
j-invariant |
L |
1.1098853829146 |
L(r)(E,1)/r! |
Ω |
0.27747134572866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898a1 60736l1 |
Quadratic twists by: -4 8 |