Atkin-Lehner |
2- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12818d |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-410176 = -1 · 26 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 2 1 -2 -3 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-1/410176 |
j-invariant |
L |
9.5584785975911 |
L(r)(E,1)/r! |
Ω |
1.3713452389641 |
Real period |
R |
1.1616912510438 |
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 |
102544l1 115362e1 |
Quadratic twists by: -4 -3 |