Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912db |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
14111096832 = 214 · 34 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-744,-5580] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:48:1] |
Generators of the group modulo torsion |
j |
32461759/10044 |
j-invariant |
L |
5.4097599401206 |
L(r)(E,1)/r! |
Ω |
0.93612485514048 |
Real period |
R |
0.72236089962758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114c1 72912bi1 |
Quadratic twists by: -4 -7 |