Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110x |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
82368 |
Modular degree for the optimal curve |
Δ |
-4959642783680 = -1 · 26 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3799,58265] |
[a1,a2,a3,a4,a6] |
Generators |
[3546:200339:729] |
Generators of the group modulo torsion |
j |
7433231/6080 |
j-invariant |
L |
7.587491248539 |
L(r)(E,1)/r! |
Ω |
0.49632674529688 |
Real period |
R |
7.6436453610821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32110p1 |
Quadratic twists by: 13 |