Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456n |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
6039899136 = 210 · 38 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,57242] |
[a1,a2,a3,a4,a6] |
Generators |
[43:126:1] |
Generators of the group modulo torsion |
j |
3290627812/8091 |
j-invariant |
L |
8.8848573882245 |
L(r)(E,1)/r! |
Ω |
1.3478127947147 |
Real period |
R |
1.648013996891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728q1 43152b1 |
Quadratic twists by: -4 -3 |