Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608g |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
17217038592 = 28 · 34 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132668,18555180] |
[a1,a2,a3,a4,a6] |
Generators |
[226:408:1] |
Generators of the group modulo torsion |
j |
1008754689437602000/67254057 |
j-invariant |
L |
5.223820039901 |
L(r)(E,1)/r! |
Ω |
0.93287513748077 |
Real period |
R |
0.46664158917772 |
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 |
5304b1 42432bw1 31824b1 |
Quadratic twists by: -4 8 -3 |