Atkin-Lehner |
3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897b |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-200649361228671537 = -1 · 310 · 72 · 132 · 177 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-106936,25364666] |
[a1,a2,a3,a4,a6] |
j |
-5602762882081/8312741073 |
j-invariant |
L |
2.2830513637979 |
L(r)(E,1)/r! |
Ω |
0.28538141880286 |
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 |
4641g2 |
Quadratic twists by: 17 |