Atkin-Lehner |
3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789c |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
121873657941 = 36 · 78 · 29 |
Discriminant |
Eigenvalues |
0 3- 3 7+ -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4116,-100242] |
[a1,a2,a3,a4,a6] |
Generators |
[98:661:1] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
4.3372229440532 |
L(r)(E,1)/r! |
Ω |
0.59661848457638 |
Real period |
R |
1.2116126291139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421a1 12789n1 |
Quadratic twists by: -3 -7 |