Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575u |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1330738413046875 = -1 · 310 · 57 · 73 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21025,2102500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1450:1] |
Generators of the group modulo torsion |
j |
-191800552663/248301045 |
j-invariant |
L |
6.9371931009917 |
L(r)(E,1)/r! |
Ω |
0.43538862149945 |
Real period |
R |
1.9916669712794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315q2 106575cd2 |
Quadratic twists by: 5 -7 |