Atkin-Lehner |
3+ 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025c |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
20712890625 = 3 · 510 · 7 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1313,16406] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:197:1] [-50:1271:8] |
Generators of the group modulo torsion |
j |
16022066761/1325625 |
j-invariant |
L |
4.8020298409265 |
L(r)(E,1)/r! |
Ω |
1.18449560497 |
Real period |
R |
4.054071472094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605j1 |
Quadratic twists by: 5 |