Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536a |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2662689792 = -1 · 210 · 3 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1237,-16523] |
[a1,a2,a3,a4,a6] |
Generators |
[12820:120213:125] |
Generators of the group modulo torsion |
j |
-204589760512/2600283 |
j-invariant |
L |
5.2728935083586 |
L(r)(E,1)/r! |
Ω |
0.40217894198817 |
Real period |
R |
6.5554072551537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dm1 1596d1 76608bi1 |
Quadratic twists by: -4 8 -3 |