Atkin-Lehner |
2- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5428a |
Isogeny class |
Conductor |
5428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-264169904 = -1 · 24 · 234 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 1 -2 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,151,-374] |
[a1,a2,a3,a4,a6] |
Generators |
[65:529:1] |
Generators of the group modulo torsion |
j |
23640424448/16510619 |
j-invariant |
L |
3.9211556591614 |
L(r)(E,1)/r! |
Ω |
0.98529222142621 |
Real period |
R |
0.66328133824866 |
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 |
21712i1 86848c1 48852d1 124844h1 |
Quadratic twists by: -4 8 -3 -23 |