Atkin-Lehner |
2- 3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888j |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3281496984059904 = 216 · 34 · 234 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102304,12323584] |
[a1,a2,a3,a4,a6] |
Generators |
[210:238:1] |
Generators of the group modulo torsion |
j |
28909850981390497/801146724624 |
j-invariant |
L |
3.9462573696387 |
L(r)(E,1)/r! |
Ω |
0.44569544958417 |
Real period |
R |
4.4270783707806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6486p2 |
Quadratic twists by: -4 |