Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bg |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-53410368 = -1 · 26 · 3 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,330] |
[a1,a2,a3,a4,a6] |
Generators |
[11:44:1] [31:174:1] |
Generators of the group modulo torsion |
j |
78402752/834537 |
j-invariant |
L |
6.2071701180247 |
L(r)(E,1)/r! |
Ω |
1.4672366086377 |
Real period |
R |
8.4610349571198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128cf1 20064m4 120384dj1 |
Quadratic twists by: -4 8 -3 |