Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41624b |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
58606592 = 210 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 4 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[95:924:1] |
Generators of the group modulo torsion |
j |
171500/43 |
j-invariant |
L |
4.9430517004486 |
L(r)(E,1)/r! |
Ω |
1.44455892438 |
Real period |
R |
3.4218415164826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83248f1 41624i1 |
Quadratic twists by: -4 -11 |