Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bt |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-10436608 = -1 · 214 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 3 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,111] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
14000/13 |
j-invariant |
L |
4.0658944807012 |
L(r)(E,1)/r! |
Ω |
1.4946797738841 |
Real period |
R |
0.68006113278315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768du1 2548g1 40768d1 |
Quadratic twists by: -4 8 -7 |