Atkin-Lehner |
7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43771b |
Isogeny class |
Conductor |
43771 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-507269490430339 = -1 · 75 · 138 · 37 |
Discriminant |
Eigenvalues |
0 0 3 7+ 5 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17576,1406629] |
[a1,a2,a3,a4,a6] |
Generators |
[4882261:39471162:50653] |
Generators of the group modulo torsion |
j |
-736100352/621859 |
j-invariant |
L |
5.8713893942879 |
L(r)(E,1)/r! |
Ω |
0.47853369713417 |
Real period |
R |
12.269542206608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43771h1 |
Quadratic twists by: 13 |