Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bz |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
336960000000 = 212 · 34 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44008,-3568012] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:6:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
5.7232925650579 |
L(r)(E,1)/r! |
Ω |
0.32962242934492 |
Real period |
R |
2.17039711786 |
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 |
975a1 62400ep1 46800cw1 3120r1 |
Quadratic twists by: -4 8 -3 5 |