Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bw |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-318600000 = -1 · 26 · 33 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,144,-594] |
[a1,a2,a3,a4,a6] |
Generators |
[381:1718:27] |
Generators of the group modulo torsion |
j |
5124031424/4978125 |
j-invariant |
L |
4.9401199796801 |
L(r)(E,1)/r! |
Ω |
0.93666396908186 |
Real period |
R |
5.2741646339223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cp1 28320o1 |
Quadratic twists by: -4 8 |