Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28798n |
Isogeny class |
Conductor |
28798 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-138287996 = -1 · 22 · 75 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1051,13393] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-55:1] [-16:169:1] |
Generators of the group modulo torsion |
j |
-1061643990033/1142876 |
j-invariant |
L |
3.2689675925154 |
L(r)(E,1)/r! |
Ω |
1.8337491858236 |
Real period |
R |
0.17826688719399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28798s1 |
Quadratic twists by: -11 |