Atkin-Lehner |
2+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040j |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1136112640 = -1 · 210 · 5 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-1888] |
[a1,a2,a3,a4,a6] |
Generators |
[714:2782:27] |
Generators of the group modulo torsion |
j |
-868327204/1109485 |
j-invariant |
L |
12.21705627235 |
L(r)(E,1)/r! |
Ω |
0.60548009587487 |
Real period |
R |
3.3629116107976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52520h1 |
Quadratic twists by: -4 |