Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923f |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
57515913 = 37 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14796,-689045] |
[a1,a2,a3,a4,a6] |
Generators |
[-381429155360:191959568443:5451776000] |
Generators of the group modulo torsion |
j |
491411892194497/78897 |
j-invariant |
L |
6.4697667956874 |
L(r)(E,1)/r! |
Ω |
0.43287459908477 |
Real period |
R |
14.946053220416 |
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 |
4641b1 97461l1 |
Quadratic twists by: -3 -7 |