Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28044b |
Isogeny class |
Conductor |
28044 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2180793465600768 = -1 · 28 · 313 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -5 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8123160,-8911188668] |
[a1,a2,a3,a4,a6] |
j |
-317637113714234368000/11685493107 |
j-invariant |
L |
1.0731231106623 |
L(r)(E,1)/r! |
Ω |
0.044713462944278 |
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 |
112176z1 9348b1 |
Quadratic twists by: -4 -3 |