Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cv |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15623000064 = 212 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5209,146329] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:496:1] |
Generators of the group modulo torsion |
j |
3816894953152/3814209 |
j-invariant |
L |
4.8315190562555 |
L(r)(E,1)/r! |
Ω |
1.235708081092 |
Real period |
R |
1.9549597231683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664ds2 20832be1 124992fw2 |
Quadratic twists by: -4 8 -3 |