Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2548d |
Isogeny class |
Conductor |
2548 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1512 |
Modular degree for the optimal curve |
Δ |
-19185257728 = -1 · 28 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,-3900] |
[a1,a2,a3,a4,a6] |
Generators |
[11:62:1] |
Generators of the group modulo torsion |
j |
14000/13 |
j-invariant |
L |
2.2698445603182 |
L(r)(E,1)/r! |
Ω |
0.66825121837123 |
Real period |
R |
3.3966934857981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10192q1 40768d1 22932h1 63700e1 |
Quadratic twists by: -4 8 -3 5 |