Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640l |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
56640 = 26 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 -3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,-15] |
[a1,a2,a3,a4,a6] |
j |
6229504/885 |
j-invariant |
L |
2.4354488137291 |
L(r)(E,1)/r! |
Ω |
2.4354488164397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bk1 28320x1 |
Quadratic twists by: -4 8 |