Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050cn |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-18933750000 = -1 · 24 · 34 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,187,-6469] |
[a1,a2,a3,a4,a6] |
j |
46268279/1211760 |
j-invariant |
L |
2.3646225329557 |
L(r)(E,1)/r! |
Ω |
0.59115563323929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150bl1 5610s1 |
Quadratic twists by: -3 5 |