Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bw |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
30 |
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 |
2.4467200031442 |
L(r)(E,1)/r! |
Ω |
0.081557333441139 |
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 |
40128k1 10032k1 120384dy1 |
Quadratic twists by: -4 8 -3 |