Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fu |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
181667266560 = 215 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,5744] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:117:1] |
Generators of the group modulo torsion |
j |
14172488/7605 |
j-invariant |
L |
5.7989435454243 |
L(r)(E,1)/r! |
Ω |
0.8850392744285 |
Real period |
R |
1.6380469525402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fr2 18720be2 12480bw2 |
Quadratic twists by: -4 8 -3 |