Atkin-Lehner |
3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725b |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-83913416103515625 = -1 · 32 · 510 · 112 · 534 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,108625,-2043750] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1850:1] |
Generators of the group modulo torsion |
j |
9071660890820879/5370458630625 |
j-invariant |
L |
3.332134907996 |
L(r)(E,1)/r! |
Ω |
0.19988238922348 |
Real period |
R |
2.0838097098796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8745k4 |
Quadratic twists by: 5 |