Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bk |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5259657216 = -1 · 223 · 3 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11+ 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,4929] |
[a1,a2,a3,a4,a6] |
Generators |
[29:128:1] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
3.0388350411307 |
L(r)(E,1)/r! |
Ω |
1.2559320213509 |
Real period |
R |
0.60489640153103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128bb1 10032r1 120384dx1 |
Quadratic twists by: -4 8 -3 |