Atkin-Lehner |
2- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930z |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
14300160 |
Modular degree for the optimal curve |
Δ |
-5.3441889154839E+21 |
Discriminant |
Eigenvalues |
2- -2 5- -3 0 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28971865,60122871225] |
[a1,a2,a3,a4,a6] |
Generators |
[-2560:344085:1] [3290:18835:1] |
Generators of the group modulo torsion |
j |
-547401908828743351062497/1087764892221440000 |
j-invariant |
L |
11.732968090899 |
L(r)(E,1)/r! |
Ω |
0.13597159095405 |
Real period |
R |
0.10272601103966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930s1 |
Quadratic twists by: 17 |