Atkin-Lehner |
5+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23075a |
Isogeny class |
Conductor |
23075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16530360 |
Modular degree for the optimal curve |
Δ |
-2.9341697242013E+28 |
Discriminant |
Eigenvalues |
0 -1 5+ 4 5 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-577278333,9819615221568] |
[a1,a2,a3,a4,a6] |
Generators |
[5141490839611532982670215696631929028433100718682344451867146305517877501844:896624233464969002431871367856118130727602571091543432211073598285871563931419:418835636680571739864298774547323329920408010977283282868572142525766473] |
Generators of the group modulo torsion |
j |
-2178609744320285271654400/3004589797582120348523 |
j-invariant |
L |
4.0374941154977 |
L(r)(E,1)/r! |
Ω |
0.033576280692852 |
Real period |
R |
120.24840250866 |
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 |
23075e1 |
Quadratic twists by: 5 |