Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gw |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1.6401179173535E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70948227,230841068290] |
[a1,a2,a3,a4,a6] |
Generators |
[2249:-287496:1] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
2.9388559627625 |
L(r)(E,1)/r! |
Ω |
0.10259291584875 |
Real period |
R |
0.35807247738282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702t4 25872cs4 1584s4 |
Quadratic twists by: -4 -3 -7 |