Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608p |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
552010837248 = 28 · 310 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2055,-2806] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:162:1] [-29:180:1] |
Generators of the group modulo torsion |
j |
5142706000/2957877 |
j-invariant |
L |
9.0992874498316 |
L(r)(E,1)/r! |
Ω |
0.77115216882805 |
Real period |
R |
1.4749500516317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216m2 16536d2 |
Quadratic twists by: -4 -3 |