Atkin-Lehner |
37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
81733c |
Isogeny class |
Conductor |
81733 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
398830967173 = 37 · 476 |
Discriminant |
Eigenvalues |
0 1 0 -1 -3 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4138193,3238764355] |
[a1,a2,a3,a4,a6] |
Generators |
[135582:6439987:216] |
Generators of the group modulo torsion |
j |
727057727488000/37 |
j-invariant |
L |
5.2673908838206 |
L(r)(E,1)/r! |
Ω |
0.51566503077048 |
Real period |
R |
10.214752932914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37b2 |
Quadratic twists by: -47 |