Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002g |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4408320 |
Modular degree for the optimal curve |
Δ |
-7.6913120394551E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 6 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-528300,447215904] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:30492:1] |
Generators of the group modulo torsion |
j |
-68417929/322704 |
j-invariant |
L |
3.6982515548093 |
L(r)(E,1)/r! |
Ω |
0.16796930598829 |
Real period |
R |
0.68804452854814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999254581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41334h1 1494c1 |
Quadratic twists by: -3 -83 |