Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640bo |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
10033606080 = 26 · 312 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-636,-3654] |
[a1,a2,a3,a4,a6] |
Generators |
[43:216:1] [-70:273:8] |
Generators of the group modulo torsion |
j |
445243675456/156775095 |
j-invariant |
L |
7.6813982911734 |
L(r)(E,1)/r! |
Ω |
0.97810302608265 |
Real period |
R |
15.706726359773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640cu1 28320p3 |
Quadratic twists by: -4 8 |