Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850cy |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-460172851920000 = -1 · 27 · 36 · 54 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197030,-33629003] |
[a1,a2,a3,a4,a6] |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
4.758518495525 |
L(r)(E,1)/r! |
Ω |
0.11329805941726 |
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 |
2650e1 23850ba1 |
Quadratic twists by: -3 5 |