Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050bp |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-40037842944000 = -1 · 219 · 33 · 53 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7234,-190672] |
[a1,a2,a3,a4,a6] |
j |
334992828740851/320302743552 |
j-invariant |
L |
2.1153274416574 |
L(r)(E,1)/r! |
Ω |
0.35255457360947 |
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 |
84150ha1 28050cp1 |
Quadratic twists by: -3 5 |