Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410bk |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
765912902060250000 = 24 · 312 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254687,26034999] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:8696:1] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
5.5942974861861 |
L(r)(E,1)/r! |
Ω |
0.25676893366715 |
Real period |
R |
0.90780346851948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280fe2 1470b2 22050bd2 630i2 |
Quadratic twists by: -4 -3 5 -7 |