Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fs |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-317320445030400 = -1 · 212 · 312 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11013,-732566] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-2520:1] |
Generators of the group modulo torsion |
j |
49471280711/106269975 |
j-invariant |
L |
6.177290791616 |
L(r)(E,1)/r! |
Ω |
0.28238928539412 |
Real period |
R |
0.9114620487523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355k1 28560dp1 |
Quadratic twists by: -4 -3 |