Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510ct |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
397015124814000000 = 27 · 314 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-282177293,1824517356981] |
[a1,a2,a3,a4,a6] |
j |
9937296563535244838593567/1587762000000 |
j-invariant |
L |
4.8367485446957 |
L(r)(E,1)/r! |
Ω |
0.17274101944697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170q2 48510dy2 |
Quadratic twists by: -3 -7 |