Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128k |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-760992516796317696 = -1 · 221 · 315 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-730817,244349121] |
[a1,a2,a3,a4,a6] |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
1.706996309484 |
L(r)(E,1)/r! |
Ω |
0.28449938491833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128bw1 1254j1 120384w1 |
Quadratic twists by: -4 8 -3 |