Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870j |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-80598939256000 = -1 · 26 · 53 · 118 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127859,-17570635] |
[a1,a2,a3,a4,a6] |
Generators |
[5881:447177:1] |
Generators of the group modulo torsion |
j |
-1078395462441/376000 |
j-invariant |
L |
5.7873285563296 |
L(r)(E,1)/r! |
Ω |
0.12623433325017 |
Real period |
R |
7.640985891407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870w1 |
Quadratic twists by: -11 |