Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266s |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
227512320 |
Modular degree for the optimal curve |
Δ |
2.2235438182902E+31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14425530435,-627096176102187] |
[a1,a2,a3,a4,a6] |
Generators |
[-31797556858969538975:-455705642759876764579:385431000484375] |
Generators of the group modulo torsion |
j |
455398460326051630614770211002161/30501286944996511890026790912 |
j-invariant |
L |
6.0480670933558 |
L(r)(E,1)/r! |
Ω |
0.013833783447249 |
Real period |
R |
31.228245984211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422w1 |
Quadratic twists by: -3 |