Atkin-Lehner |
2+ 3- 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28842g |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-4172614595424 = -1 · 25 · 33 · 113 · 193 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,313,98282] |
[a1,a2,a3,a4,a6] |
j |
3406824508823/4172614595424 |
j-invariant |
L |
3.659308029387 |
L(r)(E,1)/r! |
Ω |
0.60988467156478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86526y1 |
Quadratic twists by: -3 |