Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616c |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
388840968736768 = 212 · 377 |
Discriminant |
Eigenvalues |
2+ 0 2 4 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268324,53489568] |
[a1,a2,a3,a4,a6] |
Generators |
[3748581:267490279:729] |
Generators of the group modulo torsion |
j |
203297472/37 |
j-invariant |
L |
8.715907144108 |
L(r)(E,1)/r! |
Ω |
0.51811581730604 |
Real period |
R |
8.4111571715668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87616d2 43808b1 2368d2 |
Quadratic twists by: -4 8 37 |