Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050bh |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-7613738508800000000 = -1 · 215 · 58 · 296 |
Discriminant |
Eigenvalues |
2- -1 5- 2 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,462112,-54622719] |
[a1,a2,a3,a4,a6] |
Generators |
[669:23213:1] |
Generators of the group modulo torsion |
j |
46969655/32768 |
j-invariant |
L |
7.9202646804078 |
L(r)(E,1)/r! |
Ω |
0.13243141240236 |
Real period |
R |
1.9935513628599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42050f2 50a4 |
Quadratic twists by: 5 29 |