Atkin-Lehner |
3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789c |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
102495746328381 = 36 · 78 · 293 |
Discriminant |
Eigenvalues |
0 3- 3 7+ -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34986,2471229] |
[a1,a2,a3,a4,a6] |
Generators |
[137:499:1] |
Generators of the group modulo torsion |
j |
1126924288/24389 |
j-invariant |
L |
4.3372229440532 |
L(r)(E,1)/r! |
Ω |
0.59661848457638 |
Real period |
R |
3.6348378873416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1421a2 12789n2 |
Quadratic twists by: -3 -7 |