Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150m |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2719882812500 = 22 · 510 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16105,-778603] |
[a1,a2,a3,a4,a6] |
j |
29563822919961/174072500 |
j-invariant |
L |
3.3916065819114 |
L(r)(E,1)/r! |
Ω |
0.42395082273893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200be3 91350bp3 2030a3 71050bx3 |
Quadratic twists by: -4 -3 5 -7 |