Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37884o |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5040693504 = -1 · 28 · 34 · 72 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,-3420] |
[a1,a2,a3,a4,a6] |
Generators |
[36:210:1] |
Generators of the group modulo torsion |
j |
-810448/19690209 |
j-invariant |
L |
8.362830782289 |
L(r)(E,1)/r! |
Ω |
0.62232937854798 |
Real period |
R |
1.1198291278115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113652y2 |
Quadratic twists by: -3 |