Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2170o |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
13888000 = 29 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 1 -5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-282,1881] |
[a1,a2,a3,a4,a6] |
Generators |
[1:39:1] |
Generators of the group modulo torsion |
j |
2471874619761/13888000 |
j-invariant |
L |
2.9423543355128 |
L(r)(E,1)/r! |
Ω |
2.2422341954056 |
Real period |
R |
0.048601562996305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17360bl1 69440d1 19530i1 10850l1 |
Quadratic twists by: -4 8 -3 5 |