Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28028k |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-16249913295616 = -1 · 28 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,201684] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3773:1] |
Generators of the group modulo torsion |
j |
-221184/1573 |
j-invariant |
L |
3.6108042376246 |
L(r)(E,1)/r! |
Ω |
0.59838046250229 |
Real period |
R |
1.5085737519425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112bg1 28028h1 |
Quadratic twists by: -4 -7 |