Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350i |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18690048 |
Modular degree for the optimal curve |
Δ |
-2.403032278536E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13270042,76871800116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1045112:158705581:512] |
Generators of the group modulo torsion |
j |
-140582854299130209/1307227990261760 |
j-invariant |
L |
5.0343738404804 |
L(r)(E,1)/r! |
Ω |
0.069733454178562 |
Real period |
R |
6.0162106803484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21070y1 15050d1 |
Quadratic twists by: 5 -7 |