Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
13664h |
Isogeny class |
Conductor |
13664 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
4199329792 = 212 · 75 · 61 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -3 0 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:28:1] [-11:49:1] |
Generators of the group modulo torsion |
j |
1888232256/1025227 |
j-invariant |
L |
3.4781685339862 |
L(r)(E,1)/r! |
Ω |
1.1301100383328 |
Real period |
R |
0.15388627726547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13664d1 27328j1 122976o1 95648q1 |
Quadratic twists by: -4 8 -3 -7 |