Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584g |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-28664943552 = -1 · 26 · 34 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2042,37128] |
[a1,a2,a3,a4,a6] |
Generators |
[11:126:1] |
Generators of the group modulo torsion |
j |
-14720535704512/447889743 |
j-invariant |
L |
5.8919388880619 |
L(r)(E,1)/r! |
Ω |
1.1759220076583 |
Real period |
R |
0.83508073518625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584u1 63168bp1 94752be1 |
Quadratic twists by: -4 8 -3 |