Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5640c |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
14618880 = 28 · 35 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19036,-1017280] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1056:1] |
Generators of the group modulo torsion |
j |
2980119295136464/57105 |
j-invariant |
L |
4.0371425168825 |
L(r)(E,1)/r! |
Ω |
0.40644681994329 |
Real period |
R |
3.9731077413235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11280b1 45120t1 16920p1 28200u1 |
Quadratic twists by: -4 8 -3 5 |