Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744k |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1771127576064 = 29 · 35 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15367984,-23183421176] |
[a1,a2,a3,a4,a6] |
j |
6663712298552914184/29403 |
j-invariant |
L |
0.30500384800903 |
L(r)(E,1)/r! |
Ω |
0.076250962032362 |
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 |
51744cq4 103488dx4 1056d3 |
Quadratic twists by: -4 8 -7 |