Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510w |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-127641179531250000 = -1 · 24 · 39 · 510 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100035,-12156075] |
[a1,a2,a3,a4,a6] |
j |
442746922510313/510468750000 |
j-invariant |
L |
1.4195072682407 |
L(r)(E,1)/r! |
Ω |
0.177438408527 |
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 |
16170cd2 48510bp2 |
Quadratic twists by: -3 -7 |