Atkin-Lehner |
7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43771g |
Isogeny class |
Conductor |
43771 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-35705349388891 = -1 · 7 · 1310 · 37 |
Discriminant |
Eigenvalues |
0 0 1 7- 3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1770782,-906975976] |
[a1,a2,a3,a4,a6] |
Generators |
[1228166383140819403611517745277862925406738388834:-19612756707592374098275894086239889152236228708460:741854939745306752277399684311904798545279393] |
Generators of the group modulo torsion |
j |
-4454361759744/259 |
j-invariant |
L |
5.0172151154736 |
L(r)(E,1)/r! |
Ω |
0.065437738639365 |
Real period |
R |
76.671584620673 |
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 |
43771a1 |
Quadratic twists by: 13 |