Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16150i |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1135099520000000000 = 216 · 510 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1639817,-806204659] |
[a1,a2,a3,a4,a6] |
Generators |
[56834:13517183:1] |
Generators of the group modulo torsion |
j |
31209728336698362849/72646369280000 |
j-invariant |
L |
3.7547653020618 |
L(r)(E,1)/r! |
Ω |
0.13343244366988 |
Real period |
R |
4.6899704434595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200bu1 3230d1 |
Quadratic twists by: -4 5 |