Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cz |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-846661254115016704 = -1 · 214 · 77 · 137 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,209851,24376099] |
[a1,a2,a3,a4,a6] |
Generators |
[-67939930:1274092463:704969] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
4.8242289140135 |
L(r)(E,1)/r! |
Ω |
0.18212261849378 |
Real period |
R |
13.24445297874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768v1 10192j1 5824v1 |
Quadratic twists by: -4 8 -7 |