Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350bm |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
9047808 |
Modular degree for the optimal curve |
Δ |
-7.9087008217653E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16537874,132806063648] |
[a1,a2,a3,a4,a6] |
Generators |
[3781:-501283:1] |
Generators of the group modulo torsion |
j |
4589352212399/72559411200 |
j-invariant |
L |
4.0336234499572 |
L(r)(E,1)/r! |
Ω |
0.054937570526033 |
Real period |
R |
0.55622687927858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670t1 43350h1 |
Quadratic twists by: 5 17 |