Atkin-Lehner |
3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715o |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.1458050076951E+21 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6182727,6320455074] |
[a1,a2,a3,a4,a6] |
Generators |
[-3426:756003:8] |
Generators of the group modulo torsion |
j |
-1082855496202633369/88898969390625 |
j-invariant |
L |
8.1958950660061 |
L(r)(E,1)/r! |
Ω |
0.14356304155441 |
Real period |
R |
2.3787154611383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395g2 |
Quadratic twists by: 17 |