Atkin-Lehner |
2+ 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992b |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-703454260414464 = -1 · 211 · 39 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36531,2975022] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:2106:1] |
Generators of the group modulo torsion |
j |
-133747954758/17450771 |
j-invariant |
L |
8.5541599946118 |
L(r)(E,1)/r! |
Ω |
0.4929412721647 |
Real period |
R |
1.7353304496192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984c1 43992h1 |
Quadratic twists by: -4 -3 |