Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050cr |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-18956146176000000 = -1 · 215 · 311 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16870,-6574503] |
[a1,a2,a3,a4,a6] |
Generators |
[305:-5337:1] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
11.414698862904 |
L(r)(E,1)/r! |
Ω |
0.18595582912987 |
Real period |
R |
1.0230654341094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31350e1 3762c1 |
Quadratic twists by: -3 5 |