Atkin-Lehner |
3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13923j |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
517643217 = 39 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -4 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,-2896] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:19:1] [72:544:1] |
Generators of the group modulo torsion |
j |
10431681625/710073 |
j-invariant |
L |
4.3614722081449 |
L(r)(E,1)/r! |
Ω |
1.0657169761175 |
Real period |
R |
2.0462619559814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641d1 97461i1 |
Quadratic twists by: -3 -7 |