Atkin-Lehner |
2- 3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888j |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-171050158522368 = -1 · 220 · 38 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1376,628480] |
[a1,a2,a3,a4,a6] |
Generators |
[48:896:1] |
Generators of the group modulo torsion |
j |
70291596383/41760292608 |
j-invariant |
L |
3.9462573696387 |
L(r)(E,1)/r! |
Ω |
0.44569544958417 |
Real period |
R |
2.2135391853903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486p1 |
Quadratic twists by: -4 |