Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
113542041600 = 212 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2388,-41888] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:40:1] |
Generators of the group modulo torsion |
j |
504358336/38025 |
j-invariant |
L |
5.312397427976 |
L(r)(E,1)/r! |
Ω |
0.68620937831049 |
Real period |
R |
1.9354141738253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440bk2 18720bj1 12480bh2 |
Quadratic twists by: -4 8 -3 |