Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128a |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-31856856768 = -1 · 26 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1453,-22505] |
[a1,a2,a3,a4,a6] |
Generators |
[187947834:1302165181:2571353] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
5.535803045697 |
L(r)(E,1)/r! |
Ω |
0.38456214615973 |
Real period |
R |
14.395080485639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128cc1 627b1 120384bg1 |
Quadratic twists by: -4 8 -3 |