Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41820b |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1919538000 = 24 · 34 · 53 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493705,133685650] |
[a1,a2,a3,a4,a6] |
Generators |
[405:35:1] |
Generators of the group modulo torsion |
j |
831777533546129637376/119971125 |
j-invariant |
L |
6.8984247430115 |
L(r)(E,1)/r! |
Ω |
0.84754919202898 |
Real period |
R |
0.90436241969283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125460p1 |
Quadratic twists by: -3 |