Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550bo |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-54684000000 = -1 · 28 · 32 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-788,13781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-83:1] [-210:1151:8] |
Generators of the group modulo torsion |
j |
-3463512697/3499776 |
j-invariant |
L |
10.055092806403 |
L(r)(E,1)/r! |
Ω |
1.0184527129611 |
Real period |
R |
0.30852846303146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650v1 1302g1 |
Quadratic twists by: -3 5 |