Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152s |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
2462580736 = 219 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-544,4084] |
[a1,a2,a3,a4,a6] |
Generators |
[90:832:1] |
Generators of the group modulo torsion |
j |
4354703137/601216 |
j-invariant |
L |
10.857934700039 |
L(r)(E,1)/r! |
Ω |
1.392978725757 |
Real period |
R |
1.9486899728394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394h1 |
Quadratic twists by: -4 |