Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610m |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3.4253224961909E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,637875,-202246875] |
[a1,a2,a3,a4,a6] |
Generators |
[666:22419:1] |
Generators of the group modulo torsion |
j |
265971760991/317400000 |
j-invariant |
L |
4.1833611016948 |
L(r)(E,1)/r! |
Ω |
0.11107705899756 |
Real period |
R |
4.7077240109986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bk1 2070g1 |
Quadratic twists by: -3 -23 |