Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280n |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
42210000 = 24 · 32 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131,-444] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] |
Generators of the group modulo torsion |
j |
15657723904/2638125 |
j-invariant |
L |
3.8288008688544 |
L(r)(E,1)/r! |
Ω |
1.4264535499315 |
Real period |
R |
1.3420699429877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560p1 |
Quadratic twists by: -4 |