Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bi |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
528384 |
Modular degree for the optimal curve |
Δ |
-394266892500 = -1 · 22 · 38 · 54 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-505976,-138571702] |
[a1,a2,a3,a4,a6] |
j |
-22920928855185020425/630827028 |
j-invariant |
L |
2.8640933214842 |
L(r)(E,1)/r! |
Ω |
0.089502915367451 |
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 |
83850bo1 |
Quadratic twists by: 5 |