Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814k |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-406886976 = -1 · 26 · 39 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -6 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] [12:30:1] |
Generators of the group modulo torsion |
j |
23639903/558144 |
j-invariant |
L |
3.2928535884283 |
L(r)(E,1)/r! |
Ω |
0.81562162121058 |
Real period |
R |
0.50465398151511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512be1 1938i1 98838t1 110466bx1 |
Quadratic twists by: -4 -3 17 -19 |