Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440es |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30701768048640 = 215 · 38 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19308,997648] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:936:1] [-64:1404:1] |
Generators of the group modulo torsion |
j |
33324076232/1285245 |
j-invariant |
L |
7.4844437655162 |
L(r)(E,1)/r! |
Ω |
0.65476002053334 |
Real period |
R |
0.71442623354399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ep3 18720bn3 12480dh3 |
Quadratic twists by: -4 8 -3 |