Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912y |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-8166144 = -1 · 28 · 3 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,-141] |
[a1,a2,a3,a4,a6] |
Generators |
[590:14343:1] |
Generators of the group modulo torsion |
j |
-1024/93 |
j-invariant |
L |
11.157876510875 |
L(r)(E,1)/r! |
Ω |
1.0305916284844 |
Real period |
R |
5.4133355066741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456i1 72912q1 |
Quadratic twists by: -4 -7 |