Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bl |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
61496127739920384 = 224 · 34 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329344,71653556] |
[a1,a2,a3,a4,a6] |
j |
964526913483831937/15013703061504 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
1302l2 41664cs2 31248ca2 72912bu2 |
Quadratic twists by: -4 8 -3 -7 |