Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fl |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18632540160 = 217 · 37 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299532,63097616] |
[a1,a2,a3,a4,a6] |
Generators |
[320:124:1] [640:11556:1] |
Generators of the group modulo torsion |
j |
31103978031362/195 |
j-invariant |
L |
8.3263028360528 |
L(r)(E,1)/r! |
Ω |
0.83781942874552 |
Real period |
R |
9.9380636810022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ck4 9360o4 12480bq3 |
Quadratic twists by: -4 8 -3 |