Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bf |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2477141568 = -1 · 26 · 33 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,276,1530] |
[a1,a2,a3,a4,a6] |
Generators |
[11:76:1] [58:497:8] |
Generators of the group modulo torsion |
j |
36198994112/38705337 |
j-invariant |
L |
6.7678122265566 |
L(r)(E,1)/r! |
Ω |
0.95949829628972 |
Real period |
R |
14.106981227019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128ce1 20064l4 120384dh1 |
Quadratic twists by: -4 8 -3 |