Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200bk |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-23667200000000 = -1 · 215 · 58 · 432 |
Discriminant |
Eigenvalues |
2- -3 5- -4 -5 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5875,291250] |
[a1,a2,a3,a4,a6] |
Generators |
[825:23600:1] [3092612454:-433405393901:157464] |
Generators of the group modulo torsion |
j |
-14016105/14792 |
j-invariant |
L |
4.0997662095994 |
L(r)(E,1)/r! |
Ω |
0.61323214477451 |
Real period |
R |
0.27856268384222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150h1 68800ef1 17200t1 |
Quadratic twists by: -4 8 5 |