Atkin-Lehner |
2- 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442bi |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-41405522309863452 = -1 · 22 · 36 · 1310 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 3 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,85088,2147612] |
[a1,a2,a3,a4,a6] |
Generators |
[1534:39649:8] |
Generators of the group modulo torsion |
j |
494190983/300348 |
j-invariant |
L |
17.390440745201 |
L(r)(E,1)/r! |
Ω |
0.22268259429376 |
Real period |
R |
6.5079329544456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442o1 |
Quadratic twists by: 13 |