Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950dk |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
170128000 = 27 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15268,719781] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-63:1] |
Generators of the group modulo torsion |
j |
9180531196019/3968 |
j-invariant |
L |
8.869892071473 |
L(r)(E,1)/r! |
Ω |
1.4738891903388 |
Real period |
R |
0.21492922378861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950bs1 75950dd1 |
Quadratic twists by: 5 -7 |