Atkin-Lehner |
2+ 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672n |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-81335584512 = -1 · 28 · 33 · 74 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-588,14976] |
[a1,a2,a3,a4,a6] |
Generators |
[17:98:1] |
Generators of the group modulo torsion |
j |
-87973954000/317717127 |
j-invariant |
L |
6.3355896748724 |
L(r)(E,1)/r! |
Ω |
0.9470553390329 |
Real period |
R |
1.6724444314632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999410631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336d1 |
Quadratic twists by: -4 |