Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cb |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7313458216025390625 = -1 · 32 · 510 · 76 · 294 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-477776,181857323] |
[a1,a2,a3,a4,a6] |
j |
-6561258219361/3978455625 |
j-invariant |
L |
3.4854016948961 |
L(r)(E,1)/r! |
Ω |
0.21783763821956 |
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 |
21315f3 2175b4 |
Quadratic twists by: 5 -7 |