Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850f |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-4320697968000000 = -1 · 210 · 32 · 56 · 172 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40475,-405875] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-2309:1] [85:1870:1] |
Generators of the group modulo torsion |
j |
469296691776431/276524669952 |
j-invariant |
L |
7.1177785538301 |
L(r)(E,1)/r! |
Ω |
0.2564850157432 |
Real period |
R |
2.3126037638212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794i1 |
Quadratic twists by: 5 |