Atkin-Lehner |
2- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40850j |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-10978437500000 = -1 · 25 · 510 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 2 -7 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53713,-4798583] |
[a1,a2,a3,a4,a6] |
j |
-1096837827215689/702620000 |
j-invariant |
L |
3.1359055573833 |
L(r)(E,1)/r! |
Ω |
0.15679527787067 |
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 |
8170a1 |
Quadratic twists by: 5 |