Atkin-Lehner |
3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bq |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1966820330475 = 310 · 52 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109404,-13900815] |
[a1,a2,a3,a4,a6] |
Generators |
[-1522:811:8] |
Generators of the group modulo torsion |
j |
198654322502559169/2697970275 |
j-invariant |
L |
7.958231160426 |
L(r)(E,1)/r! |
Ω |
0.26250732248003 |
Real period |
R |
3.7895281764099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015l4 |
Quadratic twists by: -3 |