Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742m |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1468494818 = 2 · 76 · 792 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-442,-3102] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:159:8] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
4.8039966821519 |
L(r)(E,1)/r! |
Ω |
1.0519728486935 |
Real period |
R |
2.2833273159656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61936y2 69678k2 158e2 |
Quadratic twists by: -4 -3 -7 |