Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264t |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
453120 |
Modular degree for the optimal curve |
Δ |
-293659361466624 = -1 · 28 · 33 · 172 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -3 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26991,1895482] |
[a1,a2,a3,a4,a6] |
j |
-314613176964336/42485440027 |
j-invariant |
L |
2.1188385130494 |
L(r)(E,1)/r! |
Ω |
0.52970962973303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26316b1 105264ba1 |
Quadratic twists by: -4 -3 |