Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cu |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
2987712 |
Modular degree for the optimal curve |
Δ |
-2647032545608704000 = -1 · 213 · 33 · 53 · 117 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61073453,-183732938269] |
[a1,a2,a3,a4,a6] |
j |
-201544580564199876850222949/21176260364869632 |
j-invariant |
L |
4.9144828682123 |
L(r)(E,1)/r! |
Ω |
0.027002653122051 |
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 |
84150dg1 28050bv1 |
Quadratic twists by: -3 5 |