Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445bj |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
20804864725225 = 52 · 72 · 198 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-277075,56112832] |
[a1,a2,a3,a4,a6] |
Generators |
[2406:-481:8] |
Generators of the group modulo torsion |
j |
2826773089/25 |
j-invariant |
L |
4.7202687511814 |
L(r)(E,1)/r! |
Ω |
0.61413342125311 |
Real period |
R |
1.2810106596083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445a1 88445br1 |
Quadratic twists by: -7 -19 |