Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640bf |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
41290560 = 26 · 37 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 -3 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-505,4193] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
222985990144/645165 |
j-invariant |
L |
8.3508156878102 |
L(r)(E,1)/r! |
Ω |
2.0438240517241 |
Real period |
R |
0.58369685427648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640ck1 885a1 |
Quadratic twists by: -4 8 |