Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344b |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1346141541065472 = -1 · 28 · 33 · 417 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-970497,-368320797] |
[a1,a2,a3,a4,a6] |
j |
-83131122688/1107 |
j-invariant |
L |
1.8252899690205 |
L(r)(E,1)/r! |
Ω |
0.076053748712597 |
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 |
80688c1 121032o1 984b1 |
Quadratic twists by: -4 -3 41 |