Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28152p |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
18283578100992 = 28 · 37 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 3 0 7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8580,226388] |
[a1,a2,a3,a4,a6] |
Generators |
[28:90:1] |
Generators of the group modulo torsion |
j |
374298496000/97970133 |
j-invariant |
L |
6.6268836138953 |
L(r)(E,1)/r! |
Ω |
0.64460996084547 |
Real period |
R |
2.5701137185359 |
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 |
56304m1 9384b1 |
Quadratic twists by: -4 -3 |