Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
13266k |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2553121296 = 24 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-434,2593] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:55:1] |
Generators of the group modulo torsion |
j |
458314011/129712 |
j-invariant |
L |
7.5233726953844 |
L(r)(E,1)/r! |
Ω |
1.3446779921878 |
Real period |
R |
1.3987312834546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128x1 13266b1 |
Quadratic twists by: -4 -3 |