Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4556a |
Isogeny class |
Conductor |
4556 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-291584 = -1 · 28 · 17 · 67 |
Discriminant |
Eigenvalues |
2- -1 2 0 5 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
8192/1139 |
j-invariant |
L |
3.6565193624897 |
L(r)(E,1)/r! |
Ω |
2.3681858226351 |
Real period |
R |
1.5440170815739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18224g1 72896b1 41004f1 113900c1 |
Quadratic twists by: -4 8 -3 5 |