Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050di |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-2272050 = -1 · 2 · 35 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-210293,37100547] |
[a1,a2,a3,a4,a6] |
j |
-41139431161398468985/90882 |
j-invariant |
L |
5.9869842219385 |
L(r)(E,1)/r! |
Ω |
1.1973968443877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150br1 28050u1 |
Quadratic twists by: -3 5 |