Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045l |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-36577341395595 = -1 · 39 · 5 · 7 · 11 · 136 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33372,-2364478] |
[a1,a2,a3,a4,a6] |
Generators |
[6450:177953:8] |
Generators of the group modulo torsion |
j |
-208823381655552/1858321465 |
j-invariant |
L |
5.7329034114722 |
L(r)(E,1)/r! |
Ω |
0.1765197924372 |
Real period |
R |
2.7064497661116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45045f1 |
Quadratic twists by: -3 |