Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072a |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
172965888 = 214 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 -4 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,-2579] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:5:1] |
Generators of the group modulo torsion |
j |
351232000/10557 |
j-invariant |
L |
2.51785651395 |
L(r)(E,1)/r! |
Ω |
1.0881128078907 |
Real period |
R |
2.3139664331893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072ct1 4692c1 |
Quadratic twists by: -4 8 |