Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450o |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-32073417441100800 = -1 · 210 · 37 · 52 · 174 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66236,10824698] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-2489:1] |
Generators of the group modulo torsion |
j |
-1285454090148911905/1282936697644032 |
j-invariant |
L |
5.6597191142198 |
L(r)(E,1)/r! |
Ω |
0.33684395017586 |
Real period |
R |
0.30003926952286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48450bj1 |
Quadratic twists by: 5 |