Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456bx |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3953664 |
Modular degree for the optimal curve |
Δ |
-2.5418588450902E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 0 3 -7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1314573,501839282] |
[a1,a2,a3,a4,a6] |
Generators |
[3337:205056:1] |
Generators of the group modulo torsion |
j |
84137646555001871/85126338422784 |
j-invariant |
L |
7.2372006783793 |
L(r)(E,1)/r! |
Ω |
0.11545210728572 |
Real period |
R |
3.9178586394803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182e1 43152q1 |
Quadratic twists by: -4 -3 |