Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072ch |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
1605142659072 = 214 · 3 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 0 -7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3813,68349] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:289:1] |
Generators of the group modulo torsion |
j |
374298496000/97970133 |
j-invariant |
L |
3.1915639691005 |
L(r)(E,1)/r! |
Ω |
0.78948274359342 |
Real period |
R |
0.80852026029226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bu1 18768d1 |
Quadratic twists by: -4 8 |