Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686l |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-47279368332 = -1 · 22 · 33 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1244,20171] |
[a1,a2,a3,a4,a6] |
j |
-7879411029699/1751087716 |
j-invariant |
L |
4.3285692422038 |
L(r)(E,1)/r! |
Ω |
1.082142310551 |
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 |
61488p2 7686a2 53802bp2 |
Quadratic twists by: -4 -3 -7 |