Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520f |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
29804785920 = 28 · 39 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
10536048/5915 |
j-invariant |
L |
6.4578985982159 |
L(r)(E,1)/r! |
Ω |
0.97059683251646 |
Real period |
R |
3.3267667800075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760w1 65520l1 |
Quadratic twists by: -4 -3 |