Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536dh |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
20023987802112 = 212 · 37 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54489,4872807] |
[a1,a2,a3,a4,a6] |
Generators |
[159:504:1] [-219:2520:1] |
Generators of the group modulo torsion |
j |
4368157081239232/4888668897 |
j-invariant |
L |
8.2271764798918 |
L(r)(E,1)/r! |
Ω |
0.68148779099158 |
Real period |
R |
0.2874375107999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536ca1 12768q1 76608ez1 |
Quadratic twists by: -4 8 -3 |