Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368cd |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2214560259072 = 210 · 38 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12747,-549290] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:36:1] |
Generators of the group modulo torsion |
j |
894594172/8649 |
j-invariant |
L |
5.8524576286225 |
L(r)(E,1)/r! |
Ω |
0.44957384967843 |
Real period |
R |
1.6272236647816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999496158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456p2 109368bu2 |
Quadratic twists by: -3 -7 |