Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123192k |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-439041683870263296 = -1 · 211 · 311 · 295 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -4 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,161493,19807558] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1508:1] [14:4698:1] |
Generators of the group modulo torsion |
j |
311980420110382/294068343213 |
j-invariant |
L |
11.35206043672 |
L(r)(E,1)/r! |
Ω |
0.19491095536924 |
Real period |
R |
2.9121145128003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064d1 |
Quadratic twists by: -3 |