Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cm |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
952 |
Product of Tamagawa factors cp |
deg |
1359912960 |
Modular degree for the optimal curve |
Δ |
-2.699554348819E+35 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135107352589,-16109817802086303] |
[a1,a2,a3,a4,a6] |
Generators |
[4999483962:9731758752987:1331] |
Generators of the group modulo torsion |
j |
2318314888982052959258980764303839/2294583335871127030705847402496 |
j-invariant |
L |
13.542158659889 |
L(r)(E,1)/r! |
Ω |
0.00533235429646 |
Real period |
R |
2.6676690603544 |
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 |
18354u1 |
Quadratic twists by: -7 |