Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-1.8771161008932E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37406907,109998351594] |
[a1,a2,a3,a4,a6] |
j |
-71800566610391670267/23283051266048000 |
j-invariant |
L |
3.7789212457394 |
L(r)(E,1)/r! |
Ω |
0.078727526635783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710s1 85680cw1 |
Quadratic twists by: -4 -3 |