Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28275i |
Isogeny class |
Conductor |
28275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
192181640625 = 32 · 59 · 13 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,242273] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:4941:8] |
Generators of the group modulo torsion |
j |
2839760855281/12299625 |
j-invariant |
L |
8.5210847109179 |
L(r)(E,1)/r! |
Ω |
1.0125724178907 |
Real period |
R |
4.2076421203871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84825x1 5655c1 |
Quadratic twists by: -3 5 |