Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045ba |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1316631791475 = 314 · 52 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3533,59906] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:385:1] |
Generators of the group modulo torsion |
j |
6688239997321/1806079275 |
j-invariant |
L |
3.7188023340961 |
L(r)(E,1)/r! |
Ω |
0.80123511713136 |
Real period |
R |
1.1603342934509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015y2 |
Quadratic twists by: -3 |