Atkin-Lehner |
2+ 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814b |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-34884 = -1 · 22 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 -2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30,72] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-12:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
-112678587/1292 |
j-invariant |
L |
3.3843280170627 |
L(r)(E,1)/r! |
Ω |
3.687932727952 |
Real period |
R |
0.22941904494424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512u1 5814l1 98838a1 110466bb1 |
Quadratic twists by: -4 -3 17 -19 |