Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10062i |
Isogeny class |
Conductor |
10062 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-22533728256 = -1 · 211 · 39 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -4 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1472,23267] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-239:1] |
Generators of the group modulo torsion |
j |
-483551781049/30910464 |
j-invariant |
L |
7.265377390919 |
L(r)(E,1)/r! |
Ω |
1.1860266068866 |
Real period |
R |
0.13922302625524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80496bf1 3354c1 |
Quadratic twists by: -4 -3 |