Atkin-Lehner |
3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105903b |
Isogeny class |
Conductor |
105903 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-618641430331295763 = -1 · 33 · 76 · 417 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ -3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,201720,14697403] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:2521:1] |
Generators of the group modulo torsion |
j |
7077888000/4823609 |
j-invariant |
L |
2.8370098277884 |
L(r)(E,1)/r! |
Ω |
0.18216034989629 |
Real period |
R |
0.97339028607335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999514985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903a2 2583a1 |
Quadratic twists by: -3 41 |