Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490r |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1505452416025600 = 210 · 52 · 78 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263997,52241669] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:8472:1] |
Generators of the group modulo torsion |
j |
17295411715760529/12796134400 |
j-invariant |
L |
9.9995078181213 |
L(r)(E,1)/r! |
Ω |
0.47321547801663 |
Real period |
R |
2.1130982148027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7070e2 |
Quadratic twists by: -7 |