Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bb |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19675264500000 = -1 · 25 · 34 · 56 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,999,213148] |
[a1,a2,a3,a4,a6] |
Generators |
[38:534:1] |
Generators of the group modulo torsion |
j |
7066834559/1259216928 |
j-invariant |
L |
7.1778997451562 |
L(r)(E,1)/r! |
Ω |
0.52855611107605 |
Real period |
R |
1.6975254804553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182f2 |
Quadratic twists by: 5 |