Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bl |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3968491984257024 = 218 · 38 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5249664,4627869876] |
[a1,a2,a3,a4,a6] |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
1.4043719179327 |
L(r)(E,1)/r! |
Ω |
0.35109297948318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1302l3 41664cs4 31248ca4 72912bu4 |
Quadratic twists by: -4 8 -3 -7 |