Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923f |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4458223713980673 = 38 · 72 · 138 · 17 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-365211,84980704] |
[a1,a2,a3,a4,a6] |
Generators |
[620:9518:1] |
Generators of the group modulo torsion |
j |
7389727131216686257/6115533215337 |
j-invariant |
L |
6.4697667956874 |
L(r)(E,1)/r! |
Ω |
0.43287459908477 |
Real period |
R |
1.868256652552 |
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 |
4641b5 97461l6 |
Quadratic twists by: -3 -7 |