Atkin-Lehner |
3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715g |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5766227852175 = 314 · 52 · 7 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4715,-48670] |
[a1,a2,a3,a4,a6] |
j |
11592432082874161/5766227852175 |
j-invariant |
L |
1.2130237393408 |
L(r)(E,1)/r! |
Ω |
0.60651186967039 |
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 |
26145i2 43575k2 61005q2 |
Quadratic twists by: -3 5 -7 |