Atkin-Lehner |
3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bh |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1604184149021138685 = 311 · 5 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-717602,-225722964] |
[a1,a2,a3,a4,a6] |
Generators |
[72342:6811477:8] |
Generators of the group modulo torsion |
j |
56059153781993690329/2200526953389765 |
j-invariant |
L |
4.3781002548812 |
L(r)(E,1)/r! |
Ω |
0.16442882743811 |
Real period |
R |
6.6565278168064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015b4 |
Quadratic twists by: -3 |