Atkin-Lehner |
2- 13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102544f |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
1672546783232 = 212 · 134 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3864,69680] |
[a1,a2,a3,a4,a6] |
Generators |
[92:696:1] |
Generators of the group modulo torsion |
j |
1558071944857/408336617 |
j-invariant |
L |
4.9782692002077 |
L(r)(E,1)/r! |
Ω |
0.78672590515179 |
Real period |
R |
1.5819579440212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6409b1 |
Quadratic twists by: -4 |