Atkin-Lehner |
2+ 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582p |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-2208085199424 = -1 · 26 · 37 · 132 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15615,758349] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-987:1] [-66:1257:1] |
Generators of the group modulo torsion |
j |
-577614110477041/3028923456 |
j-invariant |
L |
7.0741364528855 |
L(r)(E,1)/r! |
Ω |
0.82644493720721 |
Real period |
R |
0.17832747970856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25194x1 |
Quadratic twists by: -3 |