Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744j |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1491128407448064 = 29 · 38 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30984,987624] |
[a1,a2,a3,a4,a6] |
j |
159220088/72171 |
j-invariant |
L |
1.7137147135746 |
L(r)(E,1)/r! |
Ω |
0.42842867854164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744br2 103488ik2 51744bl2 |
Quadratic twists by: -4 8 -7 |