Atkin-Lehner |
3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21801d |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118560 |
Modular degree for the optimal curve |
Δ |
-2071227583806147 = -1 · 310 · 138 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 -5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24762,-2664342] |
[a1,a2,a3,a4,a6] |
Generators |
[3544:209030:1] |
Generators of the group modulo torsion |
j |
-2058425473/2539107 |
j-invariant |
L |
1.9832559218793 |
L(r)(E,1)/r! |
Ω |
0.18178894520385 |
Real period |
R |
5.4548309295027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65403g1 21801c1 |
Quadratic twists by: -3 13 |