Atkin-Lehner |
5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1225i |
Isogeny class |
Conductor |
1225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1608482421875 = -1 · 59 · 77 |
Discriminant |
Eigenvalues |
2 -1 5- 7- -3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2042,48943] |
[a1,a2,a3,a4,a6] |
Generators |
[586:6121:8] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
3.9592512237337 |
L(r)(E,1)/r! |
Ω |
0.57788941430952 |
Real period |
R |
1.7128066052501 |
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 |
19600ds1 78400ej1 11025bq1 1225j1 |
Quadratic twists by: -4 8 -3 5 |