Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040ba |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7428716100000000 = 28 · 32 · 58 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141700,20060348] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:5850:1] |
Generators of the group modulo torsion |
j |
1229125878116884816/29018422265625 |
j-invariant |
L |
7.9309778163232 |
L(r)(E,1)/r! |
Ω |
0.41714000975485 |
Real period |
R |
1.1882967395321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520s2 |
Quadratic twists by: -4 |