Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cc |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
781314580021248000 = 228 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-487107,-123749694] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:910:1] |
Generators of the group modulo torsion |
j |
158542456758867/9691136000 |
j-invariant |
L |
6.6261095865566 |
L(r)(E,1)/r! |
Ω |
0.18140604614695 |
Real period |
R |
3.0438665669561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190f1 65520bt1 |
Quadratic twists by: -4 -3 |