Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283u |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47897866555522893 = 34 · 78 · 13 · 534 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-192277,30680012] |
[a1,a2,a3,a4,a6] |
j |
6682171619462977/407125148157 |
j-invariant |
L |
2.8144674907677 |
L(r)(E,1)/r! |
Ω |
0.35180844782141 |
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 |
14469d3 |
Quadratic twists by: -7 |